If fx = 3x over 5 +3 which of the following is the inverse

Answers

Answer 1

Answer:

f^(-1)(x) = -3x/(3x-3)

Step-by-step explanation:

1) replace f(x) by y

● y = 3x/(5x+3)

2) exchange x and y

● y = 3x/(5x+3)

● x = 3y / (3y +3)

3) solve for y

● x = 3y / (3y +3)

● x (3y +3) = 3y

● 3xy + 3x = 3y

● 3xy - 3y = -3x

● y (3x - 3) = -3x

● y = -3x /(3x-3)

4) replace y with f^(-1)(x)

● y = -3x/(3x-3)

● f^(-1)(x) = -3x/(3x-3)


Related Questions

is 333/106 rational?

Answers

Answer:

No

Step-by-step explanation:

333/106 is actually an irrational number, because it can not be written as a simple fraction.

Answer: Yes it is rational

Any rational number is of the form p/q where p, q are integers. The value of q cannot be 0.

In this case, p = 333 and q = 106.

9k - 12 - 8k + 10 - 5k Please help and go fast I have limited time

Answers

Answer:

-4k-2

Step-by-step explanation:

Please Help
The expression (y – 9)2 is equivalent to which expression. Simplify and write in standard form. Show your work.

Answers

Answer:

2y-18

Step-by-step explanation:

(y-9)2 -----Distributive property

2*y=2y

2*9=18

=2*y-2*9

=2y-18

Hope this helps ;) ❤❤❤

Answer:

yes

Step-by-step explanation:

5th GRADE MATH! Select the statement that correctly compares two numbers. A. 6,092 > 6,092.001 B. 6,197.02 > 6,197.2 .C 6,232.01 = 6,232.1 D. 6,365.1 < 6,365.999

Answers

Answer:

D is correct

Step-by-step explanation:

A is incorrect because the lesser than is .001 higher

B is wrong since is .18 higher

C is wrong because its not equalone is .9 higher

Answer:

D

Step-by-step explanation:

6365.1<6365.999

Find F(10) in father function f(x) =-2x+4





Need answers ASAP

Answers

f10=-2x-4 that’s the answer I’m pretty sure

Write the steps to "undo" the equation to solve for x and then give the value of x that
solves the equation.
2 = (x - 4)^3
X = ?

Answers

Answer:

[tex]x=\sqrt[3]{2}+4[/tex]

Step-by-step explanation:

To "undo" this equation, we need to solve for x.

We begin with the equation

[tex]2=(x-4)^3[/tex]

To remove the cube, we need to take the cubic root of both sides

[tex]\sqrt[3]{2} =\sqrt[3]{(x-4)^3} \\\\\sqrt[3]{2} =x-4[/tex]

And the last step to solve for x will be to add 4 to each side

[tex]\sqrt[3]{2} +4=x-4+4\\\\\sqrt[3]{2} +4=x[/tex]

And there is our value for x

Which phrase matches the algebraic expression below?
3(x + 7) + 10

Three times the sum of x and seven plus ten

Three times x plus the sum of seven and ten

Three times x minus seven plus ten

Three times the difference of x and seven plus ten

Answers

Answer:

Three times the sum of x and seven plus ten

Step-by-step explanation:

Three times= 3(times)

the sum of x and seven= x+7

plus 10= +10

match with the appropiate property:​

Answers

Answer:

inverse property of multiplication

Step-by-step explanation:

(5)(1/5)=1

Answer: inverse property of multiplication

Step-by-step explanation:

You need to know about the idea of reciprocal numbers. Reciprocal numbers are numbers that multiplied together to get 1 which is also called inverse. This means one number will be itself, and it's reciprocal will be the denominator of a fraction that has 1 as the numerator

If you come across question like [the reciprocal of a] = 1/a

Since 1/5 is the reciprocal of 5, and they are multiplied together to get 1. This will be the inverse property of multiplication.

Write an English phrase that would translate into the following mathematical expression.
8(2-6)
Which of the following is equivalent to the expression 8(z - 6)??

Answers

Answer:

B. 8 times the difference of a number z and 6

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Translate (z - 6)

z = a number z

- = difference

6 = six

(z - 6) = The difference between a number z and 6

Step 2: Translate 8(z - 6)

(z - 6) = The difference between a number z and 6

Since we are distributing the 8, we are multiplying.

8 times the difference of a number z and 6

You are most likely to encounter an irrational numbers when you’re

Answers

Answer:

Taking square-root of numbers

Step-by-step explanation:

The reason is that the square-root of most numbers is an irrational number because the answer we have can not be written as p/q form. For example, if we take the example of √2 then the answer we have is "1.4142135623730950..." which can not be written in p/q form. Hence taking square-root of numbers will most likely give an irrational number.

Answer:

Finding the area of a circle

Step-by-step explanation:

Solve the literal equation for the given variable.
n = 4/5(m+7);m

Answers

Answer:

[tex]m = (5n/4) -7[/tex]

Step-by-step explanation:

[tex]n = 4/5(m + 7);m\\(5)n = 4(m + 7)\\5n/4 = m + 7\\m = (5n/4)/7[/tex]

two numbers are in a ratio 2:3 and their sum is 35.find the numbers​

Answers

Answer:

14 and 21 is the answer

Step-by-step explanation:

Hope it is helpful for you

please follow me

and mark me as a brainest

Answer:

[tex] \boxed{ \boxed{ \huge{ \boxed{ \sf{ \: 14 \: and \: 21}}}}}[/tex]

Step-by-step explanation:

Let the numbers be 2x and 3x

Let's create an equation

[tex] \sf{2x + 3x = 35}[/tex]

Solve for x.

Collect like terms

[tex] \dashrightarrow{ \sf{5x = 35}}[/tex]

Divide both side by 5

[tex] \dashrightarrow{ \sf{ \frac{5x}{5} = \frac{35}{5} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 7}}[/tex]

The value of x is 7.

Now, replacing the value of x in order to find the two numbers :

[tex] \dashrightarrow{ \sf{2x = 2 \times 7 = 14}}[/tex]

[tex] \dashrightarrow{ \sf{3x = 3 \times 7 = 21}}[/tex]

The numbers are : 14 and 21

Hope I helped!

Best regards! :D

a rectangle with sides of length n+2 and n is compared to a square with sides of length n+1, are the two shape equal in perimeter?

Answers

Answer:

YES

Step-by-step explanation:

Rectangle: (n)+(n)+(n+2)+(n+2)=4n+4

Square: (n+1)+(n+1)+(n+1)+(n+1)=4n+4

4n+4=4n+4

Yes, they are equal in perimeter.

Answer:

they have equal perimeter.

Step-by-step explanation:

perimeter :-

.Rectangle=2(n+2+n)=2(2n+2)=4(n+1)

Square=4(n+1)

A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Tourist Information Center is
located at (11,0) and the Bus Station is located at (-1,-10).
The Train Station is located at point
х=

Y=

Answers

Given :

The Tourist Information Center is  located at (11,0) and the Bus Station is located at (-1,-10).

Also , Tourist Information Center is between a Bus Station and a Train Station.

To Find :

The point of location of train station .

Solution :

Let , point of location of train station is ( x,y ).

We know , mid-point of two points ( a, b) and ( c, d ) is given by :

[tex](\dfrac{a+c}{2},\dfrac{b+d}{2})[/tex] .

Since , Tourist Information Center is between a Bus Station and a Train Station.

So , it is given by :

[tex]( 11 , 0 ) = (\dfrac{-1+x}{2},\dfrac{-10+y}{2})[/tex]

Comparing both coordinate :

[tex]\dfrac{x-1}{2}=11\\\\x=22+1\\\\x=23[/tex]

and

[tex]\dfrac{y-10}{2}=0\\\\y=10[/tex]

Therefore , Train Station is located at point ( 23 , 10 ) .

Hence , this is the required solution .

Thomas planted a seed and measured the height of the stem each week for four weeks.

• The stem grew 1 inch in the first week
•The stem grew 2 inches each week after the first week.

Which graph represents the growth of this plant?

Answers

looks like graph A represents the growth

Helplpppppp
5(5x+1)=25x-7 *

Answers

Answer:

25x+5=25x-7.

25x-25x=-7-5.

= -12.

Answer:

No solution.

Step-by-step explanation:

[tex]5(5x+1)=25x-7\\\\25x+5=25x-7\\\\25x+5-5=25x-7-5\\\\25x=25x-12\\\\25x-25x=25x-25x-12\\\\\boxed{0\neq-12}[/tex]

Hope this helps.

Please help me solve all three of these..​

Answers

Answer:

5: x=27 (Positive)

8: x=9 (9 positive not negative)

11: x=24 (Positive not negative)

Step-by-step explanation:

5: 9*3=27 so 27/9

8: 38+7=45 45/5=9 so x=9

11: 15-7=8 8*3=24, 24/3-15=-7 so x=24

How can you use a number line to find the sum of -4 and 6?

Answers

Answer:

see explanation for number line\ $29$

Step-by-step explanation:

this is the answer guys.

Which defines a circle geometry

Answers

Answer:

a circle is the locus of all points equidistant from a central point

Justin made a scale drawing of a city. The scale he used was 5 inches : 2 yards. A neighborhood park is 175 inches in the drawing. How wide is the actual park?

Answers

Answer:

68.8 yards

Step-by-step explanation:

We can do justice to this question using proportion,

Proportion in mathematics means that two ratios are equal it can be expressed as w/x = y/z

Let us denote the field on map as Z

Then we can say

5 inches on the map/ 2 yards in the park = 175inches/ X yards

If we cross multiply

5(Z )= 172 × 2

5(Z ) = 344

Make Z subject of the formula

Z= 344/5

Z= 68.8 yards

Hence the the actual park is 68.8 yards

Mr. Smith paid $232,300 for his home and $33,560 for his car. Mr. Lewton paid a total of $282,106 for his home and car combined. How much more money did Mr. Lewton pay than Mr. Smith for a home and car?

Answers

Mr lewton paid more for his here’s why he paid about 16,246 dollars more for his car

Negative 2 divided by 9

Answers

Answer:

-0.22222222222222

Step-by-step explanation:

hope this helps

which is the function represented below

Answers

Answer:

f(x)= x + 5

Step-by-step explanation:

The easiest way to find this is by plugging the values for x and f(x) into each equation until you find one where all number fit.

The answer is F(x)=+5

I don't understand how to solve this, please help!

Answers

Answer:

x+1 , x<-1

x²-bx-4  , -1≤x≤4

1/2 x +a

substitute x=-1 , continuous everywhere

x+1=x²-bx-4 when x=-1

-1+1=-1²-b-4

1+b-4=0 ⇒ +b-3 ⇒ b=3

then for :

x²-bx-4=1/2 x +a for x=4

4²-4b-4=1/2x+a

16-4(3)-4=4/2+a

16-12-4-2=a

a=-2

the equations will be :

x+1

x²-3x-4

1/2x-2

I hope this help

F(4)= If g(x)=2,x=.??

Answers

Answer:

f(4) = -10

x = 0

Step-by-step explanation:

From the graph attached,

For x = 4,

Value of the function will be,

f(4) = y value at x = 4

f(4) = -10

Similarly, for y = g(x) = 2,

x value of the function will be,

x = 0

For which g(0) = 2

Therefore, for x = 0 value of the function will be 2.

g(0) = 2

Answer:

f(4) = -10

Step-by-step explanation:

Is the number 3,600−−−−−√ rational or irrational?

Answers

Answer:

It's Rational.

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

3.5 m
What is the approximate circumference of the swimming pool? Use 3.14 as an estimate for ti.

Answers

Answer:

This question seems to be incomplete, I guess that we have a circular pool, with a diameter of 3.5 m.

Now, the circunference of a circle can be written as:

C = 2*pi*r

where:

pi = 3.14

r = radius = half of the diameter = 3.5m/2 = 1.75m

Then replacing those values in the equation for the circumference we have:

C = 2*3.14*1.75m = 10.99 m.

And knowing that the value of pi is actually larger than 3.14 (pi = 3.1415926535....)

We can safely round up the circumference to the next whole number, C = 11m

Answer:

11

Step-by-step explanation:

I took map test

HW HELP! Will mark you BRAINLIEST!!

Answers

Answer:

16. DF = - 1-(-4) = 3

17. DE = -1/1/3 -(-4)

= - 5/3 + 12/3

= 7 / 3

18. FG = 2-(-1) = 3

19. FH = 3.5 - (-1) = 4.5

20. GH = 3.5 - 2 = 1.5

21. EH = 3.5 -(-1.5) = 5

22. AC = 16

3x + 7 = 16

x = 3

23. AB = x +7

= 10

24. BD = 2x + 3x - 1

=5(3) - 1

=14

25. CE = 3x - 1 + 2x + 3

=5x +2

=17

The daily high temperatures, in degrees Celsius, for two weeks were recorded. The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius. Here is a list of the high temperatures, in degrees Celsius, for the second week. 5 9 7 0 3 5 5

Answers

Answer:

mean is 4.86

mean absolute deviation is 4.86

Step-by-step explanation:

Given the function: f(x) = x2 – 2x How can you restrict the domain so that f(x) has an inverse? What is the equation of the inverse function?

Answers

Answer:

B

Step-by-step explanation:

got it right on edge

The domain restriction is x ≥ 1 and inverse function is f⁻¹(x) = 1+√(x+1)

What is Inverse of Function?

An inverse function is a function that returns the original value for which a function has given the output. If f(x) is a function which gives output y, then the inverse function of y, i.e. f-1(y) will return the value x.

Given:

f(x) = x² – 2x

We can find the inverse function by solving for y:

x = f(y)

x = y² -2y

x +1 = y² -2y +1

x +1 = (y -1)²

√(x +1) = y -1

1 +√(x +1) = y

So, the inverse function is

[tex]f^{-1}[/tex](x) =   1 +√(x +1)

Thus, the minimum value of x for which the original function has this as an inverse is 1.

So, The domain restriction is x ≥ 1 and inverse function is f⁻¹(x) = 1+√(x+1)

Learn more about Inverse Function here:

https://brainly.com/question/20664646

#SPJ2

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