Quiz about Inverse Functions

Question 1

The inverse of the function f(x) is written as ...

Accepted Answer

f -1(x)

Answer

f 2(x)

Answer

f '(x)

Answer

f +(x)

Question 2

The inverse has been reflected over which line?

Accepted Answer

y = x

Answer

x = 0

Answer

y = 0

Answer

x = -y

Question 3

Which of the following is NOT TRUE about inverse functions?

Accepted Answer

The domain of a function always becomes the domain of its inverse.

Answer

Inverse functions are reflections of each other over the line y = x.

Answer

You find the inverse by switching x and y in the equation.

Answer

The domain of a function always becomes the range of its inverse.

Question 4

What are the missing values if g(x)=f^-1(x)?

Accepted Answer

(9,-5)

Answer

(-9,-5)

Answer

(5,9)

Answer

(-9,5)

Question 5

What is the best description?

Accepted Answer

They are not reflected over y=x, and they are not both functions.

Answer

They are both functions, but not inverse functions.

Answer

They are reflected over y=x, but they are not both functions.

Answer

They are inverse functions.

Question 6

What's the best description?

Accepted Answer

They are inverse functions.

Answer

They are both functions, but not inverse functions.

Answer

They are reflected over y=x, but they are not both functions.

Answer

They are not reflected over y=x, and they are not both functions.

Question 7

What's the best description?

Accepted Answer

They are reflected over y=x, but they are not both functions.

Answer

They are both functions, but not inverse functions.

Answer

They are not reflected over y=x, and they are not both functions.

Answer

They are inverse functions.

Question 8

What is the best description?

Accepted Answer

They are inverse functions.

Answer

They are both functions, but not inverse functions.

Answer

They are reflected over y=x, but they are not both functions.

Answer

They are not reflected over y=x, and they are not both functions.

Question 9

What is the best description?

Accepted Answer

They are reflected over y=x, but they are not both functions.

Answer

They are both functions, but not inverse functions.

Answer

They are inverse functions.

Answer

They are not reflected over y=x, and they are not both functions.

Question 10

f(x) = -4x - 12

What is f^-1(x)?

Accepted Answer

$$f^{-1}\left(x\right)=-\frac{1}{4}x-3$$

Answer

f^-1(x) = 4x - 3

Answer

$$f^{-1}\left(x\right)=\frac{1}{4}x+3$$

Answer

f^-1(x) = -4x - 3

Question 11

Which is f ^-1(x)?

Accepted Answer

f^-1(x) = 5x - 3

Answer

f^-1(x) = 5x + 3

Answer

f^-1(x) = 5x - 15

Answer

$$f^{-1}\left(x\right)=\frac{1}{5}x+\frac{3}{5}$$

Question 12

Which is f ^-1(x)?

Accepted Answer

f^-1(x) = 3x + 15

Answer

f^-1(x) = 3x + 5

Answer

f^-1(x) = 3x - 5

Answer

f^-1(x) = 3x - 15

Question 13

Which graph represents the functions f(x) and f^-1(x)?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 14

If the domain of $$f\left(x\right)=\left(x-1\right)^2$$ is restricted to $$x\le-1$$ , what are the domain and range of $$f^{-1}\left(x\right)$$ ?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 15

If the domain of $$f\left(x\right)=\left(x+3\right)^2$$ is restricted to $$x\ge-3$$ , what are the domain and range of $$f^{-1}\left(x\right)$$ ?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 16

Given $$f\left(x\right)=\frac{1}{4}\left(x+4\right)^2-1$$ , which graph represents $$f^{-1}\left(x\right)$$ when the domain of $$f\left(x\right)$$ is restricted to $$x\le-4$$ ?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 17

Which graph represents the functions f(x) and f^-1(x)?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Inverse Functions

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