Find the inverse of the following functions. Show all work


f(x) = 2√x+7

Find The Inverse Of The Following Functions. Show All Work F(x) = 2x+7

Answers

Answer 1

Answer:

the inverse of f(x)=2x−7 f ( x ) = 2 x - 7 .

Step-by-step explanation:

check if f−1(f(x))=x f - 1 ( f ( x ) ) = x and f(f−1(x))=x f ( f - 1 ( x ) )

Answer 2

Answer:

f(x) = 1/4 x² - 7

Step-by-step explanation:

x + 7 ≥ 0

x ≥ -7


y/2 = 2 /2 √(x+7)

y/2 = √(x+7)


y ≥ 0

(y/2)² = √(x+7)²

y²/4 = x +7

x = y²/4 - 7

f(x) = x²/4 - 7


Related Questions

5.22860492 rounded to 3 significant figures

Answers

Answer:

5.22 is the answer required

119.43 1 significant figure

Answers

The number 119.43 when approximated to 1 significant figure is 100

How to determine the significant figure?

From the question, we have the following parameters that can be used in our computation:

Number = 119.43

The number is to be approximated to 1 significant figure

This means that we approximate all number leaving only the first digit

When this is done, we have

Approximation = 100

Hence, the number in 1 significant figure is 100

Read more about approximation at

https://brainly.com/question/24491627

#SPJ1

How much interior paint do I need for a 2000 square foot house?

Answers

In total, 15 to 16 gallons or 55 to 60 liters of paint were used to paint the interior of your 2000 square foot home.

It might be challenging to calculate or estimate the precise amount of paint that you will need when painting your home. Every paint has a varied coverage, which determines how many square feet may be painted with each gallon of paint.

According to a rule of thumb and general recommendations, you will need about 15 to 16 gallons, or 55 to 60 liters, of interior paint for a G+1/2 storey house with a 2000 square foot area, as well as 3 gallons of paint for interior trim for two to three coats, which includes painting the interior surface/wall area, overhangs, and soffits. In total, 15 to 16 gallons or 55 to 60 litres of paint were used to paint the interior of your 2000 square foot home.

To learn more about rule of thumb link is here

brainly.com/question/943703

#SPJ4

which statement correctly compares the function shown on this graph with the function y=6x+1

Answers

The correct statement regarding the comparison of the linear functions is given as follows:

D. The function shown on the graph has a lower slope and a lower starting point.

How to obtain the slope of a linear function?

The slope of a linear function represents the rate of change of the output variable y relative to the input variable x, that is, the change in y when x is increased by one.

Function y in this problem in this problem is given as follows:

y = 6x + 1.

Considering the slope-intercept definition, we have that:

The slope is of 6.The starting point is of 1.

From the graphed function, we have that:

The slope is of 5, as when x increased by 2, from x = 0 to x = 2, y increased by 10, from -6 to 4.The starting point is of -6, which is the value of y when the function crosses the y-axis, that is, when x = 0.

Thus option D is correct.

Missing Information

The graph is given by the image shown at the end of the answer.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

982,399,895,054
Select the place where the digit 3 sits in this number.

Answers

Answer:

Step-by-step explanation:

3000000000000000000000000000000000000

What is the value of root 2 into 1?

Answers

0.707 is obtained by multiplying one by root 2 . Commonly used to represent the square root is the symbol '√'. Using this symbol, the number "x" can be represented as the square root of "x" by writing '√x'.

what is square root ?

A mathematical term for a factor that, when multiplied by itself, equals the original value of the original integer is the square root. Early in the second millennium BC, the Babylonians devised effective methods for approximating square roots.

here

=√2 / 2

= 1 / √2

=√2 / √2=1

=1√2 / √2√2

=√2 / 2

= 0.707

so , 0.707 is obtained by multiplying one by root 2.

To know more about square root visit :-

https://brainly.com/question/29286039

#SPJ4

A ship can cover a certain distance in 10 hours at a speed of 16 nautical miles per hoyr . By how much should its speed be increased so that it takes only 8 hours to cover the same distance

Answers

Answer:

4 nautical miles per hour

Step-by-step explanation:

Speed = Distance / Time

Distance = Speed x time

D1 = D2

S1 = 16 nautical miles per hour

t1  =10 hours

We know S2 is unknown and the t2 = 8 hours

So, we take

S1 x T1 = S2 x T2

16 x 10 = S2 x 8

S2 = 16 x 10 / 8

S2 = 20 nautical miles per hour

20 - 16 = 4 nautical miles per hour

So, it has to increase its speed by 4 nautical miles per hour

Answer: 4 nautical miles per hour

It is given that in the first case, the ship takes 10 hours to travel at the speed of 16 nautical miles per hour. distance=speed × time=16×10=160 nautical miles. Therefore, the answer to the above question is 4 nautical miles per hour.

Step-by-step explanation:

as the value of the correlation coefficient increases from to , or decreases from to , how do the points of the scatter plot fit the regression line? choose the correct answer. the points would be further from the origin. the correlation coefficient determines the relationship, but tells nothing about the points. they would be scattered further from the line. they would be clustered closer to the line.

Answers

As the correlation coefficient moves from 0 to 1 or -1 to 0, the points would be closer to the line. Option A

What is the correlation coefficient?

The term correlation coefficient is used to show the level of the relationship between the variables. If the correlation coefficient is very close to 1 then it means that there is greater association between the variables. If it is far from one then it means that the variables are not associated at all.

We know that the regression lines show how variables can be associated and they can be used to show us the relationship between variables.

Learn more about correlation coefficient:https://brainly.com/question/15577278

#SPJ1

What is an example of a complex equation?

Answers

An example of a complex equation is the Navier–Stokes equations, which are used to describe the motion of fluids and are one of the most important equations in fluid mechanics.

What is complex equation?

A complex equation is a mathematical expression that contains multiple variables, operations, and powers. This can include exponents, logarithms, trigonometric functions, and other variables. Complex equations can be used to solve problems or to make predictions, and can be used in a wide range of fields, including economics, engineering, and physics.

These equations consist of a set of partial differential equations that describe the motion of a fluid, such as air or water, and the forces acting on it. The Navier–Stokes equations are used to predict the behavior of liquids and gases in a wide range of applications, from aeronautics, to weather prediction, to oceanography.
To know more about complex equation click-
https://brainly.com/question/28007375
#SPJ4

How do you solve for x in an angle?

Answers

To solve for x in an angle, you first need to identify what type of angle you are dealing with. Depending on the type of angle, you will use different formulas to solve for x. For example, if you are dealing with a right angle, you can use the Pythagorean Theorem to solve for x.

1. Identify the given information:-

First, identify the type of triangle and the angles that are given.

2. Use the appropriate formula:-

If it is a right triangle, use the Pythagorean Theorem to solve for the missing side. If it is an isosceles triangle, use the law of sines to solve for the missing angle.

3. Substitute the given values into the appropriate formula:-

Substitute the given values into the appropriate formula and simplify.

4. Solve for the unknown:-

Solve the equation for the unknown value (x).

5. Check your answer:-

Check your answer by plugging it back into the original equation to make sure it is correct.

To learn more about Angle :

brainly.com/question/28470790

#SPJ4

The equation of line v is y= 5/8x + 9/4. Line w is perpendicular to v. What is the slope of line w?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

slope of line w = - [tex]\frac{8}{4}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{5}{8}[/tex] x + [tex]\frac{9}{4}[/tex] ← is in slope- intercept form

with slope m = [tex]\frac{5}{8}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{5}{8} }[/tex] = - [tex]\frac{8}{5}[/tex]

A grocery store sells 8 pieces
of firewood for $8.96.

Answers

Can you explain the rest of the problem please?

How do you determine if a graph has a positive or negative leading coefficient?

Answers

To determine if a graph has a positive or negative leading coefficient, look at the sign of the coefficient of the first term of the equation for the graph. If the coefficient is positive, the graph has a positive leading coefficient. If the coefficient is negative, the graph has a negative leading coefficient.

To determine the sign of the leading coefficient of a graph, first look at the equation for the graph. The leading coefficient of a graph is the coefficient of the first term in the equation, so find the coefficient of the first term. If the coefficient of the first term is positive, then the leading coefficient is positive. If the coefficient of the first term is negative, then the leading coefficient is negative. For example, if the equation is y = 4x2 + 3x + 5, the coefficient of the first term is 4, and so the leading coefficient is positive. Conversely, if the equation is y = -2x2 + 3x + 5, the coefficient of the first term is -2, and so the leading coefficient is negative.

Learn more about graph here

https://brainly.com/question/17267403

#SPJ4

Work out the fourier erie of f, given over one period a x on -pi to pi. At which value of x, if any, doe the erie fail to converge to f(x)To what value doe it converge at thoe value

Answers

The Fourier series of one period a(x) on [tex]-\pi[/tex] to [tex]\pi[/tex] is 23.096.

What is Fourier series ?

A fourier series is an expansion of a periodic function f(x) in terms of an infinite sum of sines and cosines. Fourier Series makes use of the orthogonality relationships of the sine and cosine functions. Expand the function f(x) = ex in the interval [ – π , π ] using Fourier series formula.

Have given,

a(x) on domain ([tex]-\pi ,\pi[/tex])

Let ,

I = ∫[tex]\pi[/tex] [tex]e^{x}[/tex] dx

on integration

I = [tex][e^{x}]^{\pi }_{-\pi }[/tex]

I = [tex]e^{\pi } - e^{-\pi }[/tex]

I = 23.14 - 0.043

Thus, I = 23.096

The Fourier series of one period a(x) on [tex]-\pi[/tex] to [tex]\pi[/tex] is 23.096.

To learn more about Fourier series visit:

brainly.com/question/29672996

#SPJ4

What are the 4 types of algebra?

Answers

The 4 types of algebra are  Elementary Algebra,  Linear Algebra, Abstract Algebra, Boolean Algebra.

1. Elementary Algebra - This type of algebra deals with basic operations such as addition, subtraction, multiplication, and division. An example of elementary algebra is solving for x in the equation 2x + 3 = 7. In this equation, the variable x has a value of 4.

2. Linear Algebra - This type of algebra deals with linear equations and linear transformation. An example of linear algebra is solving for the vector x in the equation Ax = b, where A is a matrix and b is a vector.

3. Abstract Algebra - This type of algebra deals with abstract concepts such as groups, rings, and fields. An example of abstract algebra is finding the inverse of a matrix A. The inverse of A can be found by solving the equation A x A-1 = I, where I is the identity matrix.

4. Boolean Algebra - This type of algebra deals with logical operations such as OR, AND, NOT, and XOR. An example of Boolean algebra is finding the logical complement of a statement P. The logical complement of P can be found by solving the equation P OR NOT P = TRUE.

Learn more about algebra here :

https://brainly.com/question/19447945

#SPJ4

What are the legs of a right isosceles triangle?

Answers

The legs of a right isosceles triangle are the height and the base of the right isosceles triangle.

It is known that an isosceles triangle is a triangle which has two equal sides.

It is a right isosceles triangle when one side of the triangle is a perpendicular dropped from the vertex and forms a right angle with the base.

As the two sides are equal, the base also turns out to be perpendicular to the height forming a hypotenuse of the third side.

Hence, the two perpendiculars base and height are considered to be the legs of the right isosceles triangle.

To know more about right isosceles triangles:

https://brainly.com/question/1572007

#SPJ4

How do the coefficients in a balanced equation compare quantities of two substances?.

Answers

The coefficients in a balanced equation compare quantities of two substances by the ratio of the substances' coefficients equals the ratio of their number of moles.

A mole is defined as 6.02214076 × 10²³ of some chemical unit, be it atoms, molecules, ions, or others. The mole is a convenient unit to use because of the great number of atoms, molecules, or others in any substance.

In many chemical situations, mole ratios are employed as conversion factors between products and reactants.

In a balanced chemical equation, the coefficients in front of the formulae can be used to determine the mole ratio.

Complete question:

How do the coefficients in a balanced equation compare quantities of two substances?

A. The ratio of the coefficients equals the ratio of the masses of the

substances

B. The sum of the coefficients of the reactants equals the sum of the

products

C. The ratio of the substances' coefficients equals the ratio of their

number of moles.

D. The coefficient of the reactant tells how many product molecules

will form.

To know more about ratios visit: brainly.com/question/13419413

#SPJ4

A mole is defined as 6.02214076 × 10²³ of some chemical unit, be it atoms, molecules, ions, or others. The mole is a convenient unit to use because of the great number of atoms, molecules, or others in any substance.

In many chemical situations, mole ratios are employed as conversion factors between products and reactants.

Complete question:

How do the coefficients in a balanced equation compare quantities of two substances?

A. The ratio of the coefficients equals the ratio of the masses of the

substances

B. The sum of the coefficients of the reactants equals the sum of the

products

C. The ratio of the substances' coefficients equals the ratio of their

number of moles.

D. The coefficient of the reactant tells how many product molecules

will form.

What is the slope of this line y =- 3x 1?

Answers

The slope of the line is -3.

Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?
y > x^2 – 2
y ≥ –x^2 + 5

This is a algebra2 question, no geometry stuff.

Answers

Answer: (read the explanation)

Step-by-step explanation:

To graph the solution set to the given system of inequalities, we can begin by graphing the two inequalities separately. For the first inequality, y > x^2 – 2, we can graph the function y = x^2 – 2 on the coordinate plane and shade the region above the graph. This will represent the values of x and y that satisfy the inequality.

For the second inequality, y ≥ –x^2 + 5, we can graph the function y = –x^2 + 5 on the coordinate plane and shade the region below the graph. This will represent the values of x and y that satisfy the inequality.

Next, we can combine the two graphs by intersecting the shaded regions. The resulting graph will show the solution set to the system of inequalities. The solution set can be identified as the points on the coordinate plane that are contained within the shaded region on the combined graph.

Overall, to modify the graphs of f(x) and g(x) to graph the solution set to the given system of inequalities, we can graph the functions y = x^2 – 2 and y = –x^2 + 5 on the coordinate plane and shade the regions that satisfy the inequalities. The solution set can then be identified as the points within the shaded region on the resulting combined graph.

A teacher records the following test scores out of 100 for eight of her students:
8, 47, 62, 67, 78, 82, 83, 90
The teacher then realizes that the score of 8 is an error and should instead be 80.
What will this change of score have a greatest effect on?

Mean
Median
Mode
Highest Value

Answers

The change of score of the test score from 8 to 80, would have the greatest effect on A. Mean.

Why would mean be the most affected ?

Numbers in a data collection that are significantly greater or smaller than the rest are known as outliers. The metrics of central tendency are mean, median, and mode. The only index of central tendency that is consistently impacted by an outlier is the mean.

The value of 8 was an outlier from the rest of the test scores and so it would have had a great effect on mean. If the score was taken back to 80, then the mean would be adjusted correctly and change the greatest.

Find out more on mean at https://brainly.com/question/24123584

#SPJ1

What is the function of f/x )= x?

Answers

The domain and scope of the identity function are the same. Equation for the identity function is  f(x) = x, or y = x.

What is function?

An statement, rule, or law in mathematics that specifies the connection between an independent variable and a dependent variable (the dependent variable). A relationship between a group of inputs and one output each is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. Y=X2 is an illustration of this. You only receive one output for y if you enter anything for x. The fact that x is the input value leads us to argue that y is a function of x.

identity function are the same.

Equation for the identity function is

f(x) = x, or y = x.

To know more about functions visit:
https://brainly.com/question/28193995

#SPJ4

Question
Graph 13x−16y=−23 using intercepts.

Answers

Graph the line using the slope and y-intercept, or two points

Which graph grows the fastest?

Answers

The graph that grows the fastest is green i.e., the graph of exponential function.

In this question we need to determine which  graph grows the fastest.

Given graph contains graph of quadratic function (blue colored graph), exponential function (green colored graph), cubic function (pink colored graph) and linear function (black straight  line)

We know that the exponential function grows faster because it grows by a factor that is multiplied by the previous y-value instead of being added

like the linear function.

In given graph the green function is an exponential function and it grows the fastest.

Therefore, the green graph grows the fastest.

Learn more about the exponential function here:

https://brainly.com/question/14355665

#SPJ4

Consider following image.

the basketball court will be similar to an NCAA basketball court, which has a length of 94 feet and a width of 50 feet. the school plans to make the width of the new court 45 feet. find the perimeters of an NCAA court and the new court in the school

Answers

Perimeter of the NCAA court is 288288 ft

Perimeter of the new court is 259.2ft

How to find Perimeter ?

Perimeter of NCAA court

=2(length +width)

=2(94ft+50ft)

=2⋅144ft

=288ft

The perimeter of the new court in the school:

=2(length +width)

=2(84.6ft+45ft)

=2⋅129.6ft

=259.2ft

The area encircling a two-dimensional figure is known as its perimeter. Whether it is a triangle, square, rectangle, or circle, it specifies the length of the shape. The two primary characteristics of a 2D shape are area and perimeter.Each form has a different perimeter depending on its measurements. The perimeter is only ever stated as the circle's diameter when referring to a circle. But we must add all of the sides of each polygon to determine its perimeter, which is the same for all polygons.With the use of the perimeter formula, we can quickly determine the length of a circular or rectangular field given its measurements. Learn from this.

To learn more about Perimeter refer to:

https://brainly.com/question/16596982

#SPJ1

Solve the following equations:
Solving multi-step equations
1) 3x+7+ 6x = 34
2) b-9+6b=30

Answers

Let’s begin with question 1.

1. Combine like terms

9x + 7 = 34

2. Subtract 7 from both sides

9x = 27

3. Divide by coefficient

x = 3

Now onto question 2!

1. Combine like terms

7b - 9 = 30

2. Add 9 to both sides

7b = 39

3. Divide by coefficient

b = 39/7

in angle CED, the measure of angle E=90 degrees, ED=63, DC=65, CE=16. What is the value of the sine of angle D to the nearest hundredth

Answers

The value of the sine of angle D to the nearest hundredth will be 0.25.

What is the sine law?

The Law of Sines The law of trigonometric functions, sine law, sine formula, or sinusoidal rule is a trigonometric equation that relates the sizes of any triangle's edges to the sines of its orientations.

The sine law in the triangle ΔCDE is given as,

CD / sin E = DE / sin C = EC / sin D

In triangle ΔCED, the measure of angle ∠E = 90°, ED = 63, DC = 65, and CE = 16. Then we have

65 / sin 90° = 63 / sin C = 16 / sinD

Compare the first and the last term, then we have

65 / sin 90° = 16 / sin D

65 = 16 / sin D

sin D = 16 / 65

D = 14.25°

The worth of the sine of point D to the closest 100th will be 0.25.

More about the sine law link is given below.

https://brainly.com/question/17289163

#SPJ1

How do you show that f and G are inverses of each other?

Answers

First make the graph of the functions, then  if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.

Symmetric

A figure or shape that can be divided into two equal parts by a line is called symmetric figures.

Inverse Functions

The inverse function of a function f  is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by F^-1.

Learn more about graph and functions here :-

brainly.com/question/17267403

#SPJ4

What is the value of 0 1?

Answers

The value of 0 1 is 1.

This is because any number to the power of 0 is equal to 1. This is part of the fundamental rules of exponents in mathematics. For example, if we take 2 to the power of 0, that would be equal to 2^0=1.

Similarly, 5^0=1, and so on. This is because any number to the power of 0 is equal to 1, regardless of the number. This is because any number multiplied by 1 is equal to itself. This holds true for 0 as well, and so 0^1=1. This is why the value of 0 1 is 1.

This is a basic mathematical equation in which the answer is 1. This equation can be used to illustrate the concept of addition, which is the process of combining two numbers to get a total.

For more questions like Value  click the link below:

https://brainly.com/question/29628641

#SPJ4

please help as fast as possible!

Classify each pair of labeled angles as complementary, supplementary, or neither.

Drag and drop the choices into the boxes to correctly complete the table. Each pair of angles may belong to more than one category.

complementary

supplementary

neither

Answers

127 - supplementary
56 and 34 - Complementary
67 and 67 - Supplementary
53 - neither

How do you graph y =- 5x 3?

Answers

To graph a linear equation which is in the form of a straight line one easy method is by identifying two points on that line and drawing a straight line passing through the two points.

A linear equation of the form y = mx + c having slope m and y-intercept c is a straight line.

To find the two points, we can substitute a value for one variable and find the corresponding value of the other variable. In this case

For x = 0

y = -5×0 + 3

y = 3

So (0, 3) is a point on the line y = -5x + 3.

Similarly for y = 0

0 = -5x + 3

5x = 3

x = 3/5 = 0.6

So (0.6, 0) is a point on the line y = -5x + 3.

Now we can graph y = -5x + 3 by joining (0, 3) and (0.6, 0). Refer the attached figure for the graph.

--The question is incomplete, answering to the question below--

"How do you graph y = -5x + 3?"

To know more on graphing

https://brainly.com/question/28494690

#SPJ4

Other Questions
When working with a group, counselors clearly explain the importance and parameters of confidentiality for the specific grouptrue or false What type of mutation occurs when one or two bases are either inserted or removed from a gene sequence? as maura was leaving the shopping center, a research representative asked if she could take three minutes to answer a few questions about her shopping experience that day. what type of public relations research is maura participating in? Match the type of reflex to its description. What does discriminatory language do?A. It makes people feel bad.B. It focuses on the individual, not an identity.C. It points out people's strengths.D. It is sensitive to others and their needs. hannel analysis enables an analytics user to O find ways to shift paid traffic sources toward unpaid traffic sourcesO conduct counterfactual analyses of the effect of increased marketing investments in any channel O investigate which traffic source produced the best-quality traffic O determine which ad copy produced the highest click-through rate PLEASE I NEED HELP! Fungi break down dead matter. A container of carbon dioxide has its carbon tagged. In a sealed container there are plants, animals, and fungi. In what order would the tagged carbon be found? To make presentation to convince a school principal to create an activity or group that brings teenagers together will start with a citation what is the ratio in the series 4, 6, 9... Click on the space where a semicolon should be added.It is widely believed that humans cannot thrive on an all-meat diet however, Inuit people of theArctic survived for generations without dependable access to fresh produce or grains. What undefined term is used to define a circle? What are the 7 skill components of fitness? Why is the 3rd Amendment not important? Evaluate.[tex]3 \frac{1}{5}-(-\frac{7}{2})+(-1)[/tex] Which group of people is better at understanding their own emotions and the emotions of others, which helps them to be better communicators? the gas undergoes an isothermal compression from point 2 until the volume is restored to the value it had at point 1. what is the final pressure of the gas? express your answer to two significant figures and include the appropriate units. Which is the largest ratio? StartFraction 5 Over 36 EndFraction, 2:9, 3 to 18, 1:3StartFraction 5 Over 36 EndFraction2:93 to 181:3 Which of the following statements about capital budgeting cash flow estimation is most correct?AInterest expense on any loans used to acquire the equipment must be included in the projects cash flows.BMoney spent last year on a consulting report must be included in the projects cash flows.COpportunity costs associated with land usage must be included in the projects cash flows.DAny impact on the cash flows of existing (current) projects must be included in the projects cash flows.EBoth c. and d. are correct. How do you classify vehicle types? Write an equation in slope-intercept form of the line that passes through the given points. $x$ $y$ $-4$ $9$ $-2$ $4$ $0$ $-1$ $2$ $-6$ $y=$