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 1

Answer:

B

Step-by-step explanation:

got it right on edge

Answer 2

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


Related Questions

5x – 2y + (7x - y) for x = 7 and y = -2.

Answers

Plug in the values to solve this problem.

[tex]5x-2y+(7x-y), x=7, y=-2[/tex]

[tex]5(7)-2(-2)+(7(7)-(-2))[/tex]

[tex]35+4+(49+2)[/tex]

[tex]39+51[/tex]

[tex]90[/tex]

Hope this helps.

頑張って!

PLZ I NEED ANSWERS NOW!!!! {(-1, 2), (0, 2), (5, 2)} is a function. TrueFalse

Answers

Answer:

True

Step-by-step explanation:

every x only has one y

Help please! I need the answers for the two fill-in-the-blanks.

Answers

Answer:

The first column is transformation

The second one I have forgotten

Need other help

Is my answer right? I think it’s A, but I don’t want to get it wrong.

Answers

The answer is 16 if you solve it, because the square root of 64 is 8 and 2 * 8 = 16

In right triangle ABC, A = 42°. Find the measure of B which is the other non
right angle.

Answers

A=42

C=90

B=48

We can reason that C will be equal to 90 since it is the right angle. So to find B we have to subtract 90 from 180 to get 90 then subtract 42 to get 48

B=48 degrees

-12 = 2 + 5y + 2y
Can you me do the work

Answers

Answer:

-2 =y

Step-by-step explanation:

-12 = 2 + 5y + 2y

Combine like terms

-12 =2+7y

Subtract 2 from each side

-12-2 = 2+7y-2

-14 = 7y

Divide each side by 7

-14/7 = 7y/7

-2 =y

Does this equation has one solution, no solution, or infinitely many solutions? 2(x + 2) =2x - 8 Question

Answers

Answer:

no solution

Step-by-step explanation:

2(x + 2) = 2x -8

2x+4 = 2x-8

2x - 2x =-8 - 4

0 = -12

if the numbers r not the same on both right and left side it have no solution.

hope u like it ‍❤️‍‍❤️‍❤️‍

for any question comment me

I need help with this problem 2•1/2+4(4•2-7)

Answers

Answer:

5

Step-by-step explanation:

2×1/2 + 4×(4×2 - 7) =          ⇒ multiplication1 + 4×(8 - 7) =                      ⇒ parenthesis1 + 4×1 =                              ⇒ multiplication1 + 4 =                                 ⇒ addition5                                         ⇒ answer

Solve for 6x+3x-4=32 and find what is 2x

Answers

Answer:x=4 2(4)= 8

Step-by-step explanation:

6x+3x= 9x

9x-4=32

9x=36

36/9=4

You’re answer is 4

36/9=4

If I said that in three days' time it would be a Thursday, I am sure that most of you would have no difficulty telling me that today was a Monday.

Try this one then. Yesterday was two days before Monday. What day is it today? Yes, you're right again. It's Sunday. Do you get the idea?

Now let's tackle a similar question from The National Mathematics Contest (1991) Paper:

Three days ago, yesterday was the day before Sunday. What day will it be tomorrow?
PLEASE HELP

Answers

Answer:

thursday

Step-by-step explanation:

Point O is on line segment NP. Given OP = 10, NP = 2x, and NO = x +7,
determine the numerical length of NO.

Answer: NO =

Answers

Answer:

Given : NP is a line segment

and O is the mid point

therefore, we can write

NP = NO + OP

now put the values

under NP write 2x , NO = x+7 , OP = 10

Therefore the equation that comes to us after putting values is

2x = x+7 + 10

now solving

2x - x = 7+10

x = 17

therefore

numerical length of NO = x+7

i.e. , 17 + 7 = 24

HOPE U FIND THIS ANSWER USEFUL TO U

THANK U

— 7х – 10 = 18 + 3x
Solve the equation

Answers

Answer:

-2.8 = x

Step-by-step explanation:

-7х – 10 = 18 + 3x

+7x. +7x

-10. = 18+ 10x

-18. -18

-28. = 10x

/10. /10

-2.8 = x

What is the range of the graph below?

Answers

that’s correct since the lowest y value is -8 and the highest is infinity!
The answer is C because The x axis always goes first y axis second.

what is the21st term of -3,2,7​

Answers

Answer:

102

Step-by-step explanation:

The first step is to find out how to find the next number in the term.

In this we can see that to get to the next number in the term we need to add 5.

The easiest way to figure out the 21st term of this, would be to multiply 5×21. This is equal to 105.

But since we started at three less than 5, we need to subtract 3 from 105. 105-3=102.

The 21st term is 102.

arithmetic sequence formula
an=a1+d(n-1)
-3+5(n-1)
-3+5n-5
5n-8
a21=5(21)-8
a21=97

Answer the question below fast​

Answers

Answer:

The answer is 10.5 in decimal form

for the given points a(-4 6) and b(6 -4) find the slope of a line through points A and B

Answers

Answer:

the required slope of the points is -1...

If f(x) = 2x², what is f(a+3)?

Answers

Answer:

2 a ^2  +  12 a  +  18

Step-by-step explanation:

Substitute the given value into the function and evaluate.

Hope this helps!

A ketchup Company purchased eight shipments of tomatoes, they were 900 tomatoes in each shipment how many did the company purchased in all

Answers

Answer:

7200 tomatoes

Step-by-step explanation:

8 shipments of tomatoes at 900 tomatos per shipment add up to 7200 tomatoes.  That';s the product of 8 shipments and 900 tomatoes per shipment.

If -11 + N = -11, then N is the
o multiplicative inverse
O additive inverse
O additive identity
o multiplicative identity

Answers

Answer:additive inverse

Step-by-step explanation:

.Occurrences in the natural and human-made world that can be observed and cause one to wonder and ask questions are known as whact?

Answers

Answer:

scientific phenomena

Step-by-step explanation:

A satellite's speed is

10,000 m/s. After 1

minute, it is 5,000 m/s.

What is the satellite's

acceleration?

Answers

Answer:

-83.33 [tex]m/s^2[/tex]

Step-by-step explanation:

Given that:

Initial speed of satellite = 10,000 m/s

Final speed of satellite = 5,000 m/s

Time taken = 1 minute

Let us convert it into seconds.

Time taken = 1 minute = 60 seconds

Let us have a look at the formula:

[tex]v=u+at[/tex]

where [tex]v[/tex] is the final speed

[tex]u[/tex] is the initial speed,

[tex]t[/tex] is the time taken and

[tex]a[/tex] is the acceleration

[tex]5000=10000+a\times 60\\\Rightarrow 60a = 5000-10000\\\Rightarrow 60a = -5000\\\Rightarrow a = -\dfrac{5000}{60}\\\Rightarrow \bold{a = -83.33\ m/s^2}[/tex]

Negative sign indicates that the satellite is in slowing down motion i.e. its speed is decreasing.

So, the answer is:

-83.33 [tex]m/s^2[/tex]

The sum of two numbers is 97. The larger number is three less than four times the smaller number. Find the numbers.

Answers

Answer:

20 and 77

Step-by-step explanation:

4x-3+x=97

5x-3=97

5x=97+3

5x=100

x=20

Have a NICE day

The larger number is 77 and the smaller number is 20.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, The sum of two numbers is 97.

Assuming the numbers to be a and b.

∴ a + b = 97...(i)

Also given, The larger number is three less than four times the smaller number,

Assuming the larger number to be a, therefore a = 4b - 3...(ii)

Substituting the value of a in eqn(i) we get,

4b - 3 + b = 97.

5b = 100.

b = 20, hence a = 77.

learn more about numerical expression here :

https://brainly.com/question/29199574

#SPJ2

b. If some amount of water contains 1400 oxygen atoms, how many hydrogen atoms does it contain?
hydrogen atoms
Preview
c. If some amount of water contains 3380 oxygen atoms, how many hydrogen atoms does it contain?
hydrogen atoms
Preview
d. Write a formula that expresses the number of hydrogen atoms (y) in any time amount of water in terms of the number of oxygen atoms
that amount of water.

Answers

Answer:

B: 2800 hydrogen atoms

C: 6760 hydrogen atoms

D: y=amount of oxygen atoms*2

Step-by-step explanation:

B: We know the formula for water is H2O. SO that means that there is 2 hydrogen atoms and 1 oxygen atom. So there is 2 times the amount of hydrogen atoms so we can do 1400*2=2800, So there is 2800 hydrogen atoms in the water.

C: Same thing as B. 3380*2=6760

D: y=amount of oxygen atoms*2. Because there is one oxygen atom and two hydrogen atoms so 1*2=2.

NEED HELP ASAP!!!
A square patio has an area of 189 square feet. How long is each side of the patio to the nearest tenth? Each side of the patio is approximately ______ feet long.

Answers

14. To get the length of each side, you will have to find the square root of 189 to find what two numbers multiplied by itself will get to that number. The square root of 189 is about 13.7, to the nearest tenths is 14

Is this relation a function

Answers

Answer:

yes

Step-by-step explanation:

every value of the domain only has one corresponding value

The table below shows the amount of money Sarah spends for a craft demonstration. Number of People Attending Cost 5 $15 8 $18 10 $20 15 $25 Sarah spends a total of $60. Based on the information in the table, how many people attended the craft demonstration? 20 30 50 70

Answers

Answer:

Nobody who paid $18 attended, because that can't be part of $60.

Step-by-step explanation:

4 at $15

10 at $20

15 at $25

=

29 people.

There are 30 people was attended the craft demonstration.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

We have been given that number of people attending at respective costs as 5 at $15, 8 at $18, 10 at $20, 15 at $25

Since Sarah spends a total of $60.

As per the condition,

So the number of people who attended the craft demonstration attending at respective costs would be 5 at $15, 10 at $20, and 15 at $25

⇒ 5 + 10 + 15 = 30

Thus, the required number of people would be 30 because $18 can't be included in $60, anyone who paid that amount attended.

Therefore, there are 30 people was attended the craft demonstration.

Learn more about the arithmetic operations here:

brainly.com/question/25834626

#SPJ2

What do you know about x and y if their product is zero?

Answers

Step-by-step explanation:

Either x = 0 or y = 0. (Zero product rule)

P(n) =-n -1 ;find p(10)

Answers

Answer:

p(10) = - 11

Step-by-step explanation:

To find p(10) substitute n = 10 into the rule, that is

p(10) = - 10 - 1 = - 11

Steps to solve:

P(n) = -n - 1; p(10)

~Substitute

P(10) = -(10) - 1

~Simplify

P(10) = -11

Best of Luck!

Solve
1/2(3-12)=1/4(S+ 16)

Answers

Answer:

S = (-34)

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask ;)

What is the measure of angle SRW

Answers

do you have a picture of the whole question?

Answer:95

Step-by-step explanation:

Other Questions
Which of the following best summarizes this section? (1 point) a It was important to Kamo-tah that he be seen by the villagers as brave and strong. b Kamo-tah had an intense hatred of bears and wanted them all dead. c Kamo-tah had not eaten in weeks and would not eat again until the bear was dead. d Kamo-tah gave no thought to what Negore or the villagers thought of him. what were the Taino? Give an example of a the following:a. core:b periphery:c. uneven development: Lets take a look at sodium (Na) and chlorine (Cl). Draw what I am describing, and you will see it better. A sodium atom has how many protons? __________ A sodium atom has how many electrons? __________ How many electrons will go in the first shell? __________ How many in the second shell? __________ How many in the third? __________ Now draw this out on the diagram in Figure 2.1, and take a look at it, in particular the third (valence) shell. We know that Na requires eight electrons in its valence shell to become stable. But how many does it have? __________ So, to fill this shell, will it be easier for sodium to steal seven more electrons from another atom, or will it be easier for sodium to give up that one electron and get rid of that third shell? Sodium is simply going to give away that last electron. This means that it will lose an electron (negative charge) but will keep the same number of protons (positive charges). What will the sodium ions overall charge be now? _ Determine the value of g-1(4).help with this plz I am writing a descriptive paragraph on an actress (project), i need some vocabulary to strengthen the quality of my work (not trying to impress teacher, it's the requirement). Richard is an introvert and finds himself miserable at parties. His response is an example of a(n) ________ person-environment transaction. 1. Current scientific evidence suggests that people arrived in America when? (native people notEuropeans) what were causes and effects of the French Indian War? URGENT! Please help me solve this question with full solutions Woodwick Company issues 9%, five-year bonds, on December 31, 2014, with a par value of $96,000 and semi-annual interest payments.Semi-annual Period-End Unmortized Premium Carrying value 0) 12/31/2816 $8,031 $104,0311) 6/3e/2817 7,228 183,2282) 12/31/2817 6,425 182,425 Use the above straight-line bond amortization table and prepare journal entries for the following A) The issuance of bonds on December 31, 2016.B) The first interest payment on June 30, 2017.C) The second interest payment on December 31, 2017. WILL GIVE BRIANLIEST!!!!!!!!!!!!!!!!!!!!! picture down below how did the establishment of the american colonies benefit the economy of great britain? what is a veag pronoun What would be some positives and negatives of the Roanoke location? Kevin went to see his favorite sports team play his car can go 320 miles on one lank of gas. If he used 20% of a full tank of gas, how many miles did he travel? What is an example of convection? A. A heater in a fish tank warming the water at the bottom of the tank B. Batteries in a flashlight converting chemical energy into light C. Touching a stove and burning your hand D. Touching a stove and burning your hand Natalie has 1/2 gallon of milk. She pours an equal amount of milk each of 8 glasses. Why is horizontal integration important? What is the a simple heart central conflict?