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(x) = -1/4x - 3

Answer

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

Answer

f^-1(x) = 1/4x + 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(x) = 1/5(x) + 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

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

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 15

Determine the inverse for the function:

R (x) = 2x + 1

Accepted Answer

R^-1(x) = $$\frac{x-1}{2}$$

Answer

R^-1(x) = $$\frac{x+1}{2}$$

Answer

R^-1(x) = $$x-3$$

Answer

R^-1(x) = $$x\ +3$$

Question 16

Determine the inverse for the function:

S (x) = $$\frac{2x^2\ -7}{4}$$

Accepted Answer

S^-1(x) = $$\sqrt[]{\frac{4x+7}{2}}$$

Answer

S^-1(x) = $$\frac{2x-4}{7}$$

Answer

S^-1(x) = $$\frac{4x+7}{2}$$

Answer

S^-1(x) =

$$\sqrt[]{\frac{2x+7}{4}}$$

Question 17

Find the inverse for this relation: { (1, -3), (-2, 3), (5, 1), (6, 4) }

Accepted Answer

{ (-3, 1), (3, -2), (1, 5), (4, 6) }

Answer

{ (1, 3), (2, 3), (5, 1), (6, 4) }

Answer

{ (-1, -3), (-2, -3), (-5, -1), (-6, -4) }

Answer

{ (3, -1), (-3, 2), (-5, 1), (4, -6) }

Question 18

Is the inverse of this a function?

Accepted Answer

No

Answer

Yes

Question 19

You restrict the domain when...

Accepted Answer

The inverse is not a function

Answer

The inverse is a function

Question 20

Restricting the domain is another way to say restricting the...

Accepted Answer

x-values

Answer

y-values

Answer

Odd numbers

Answer

Even numbers

Inverse Functions

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics