Free Printable Inverse Function Quiz

1.

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

a)

(1, 4) and (4, 6)

b)

(-4, -1) and (-6, -4)

c)

(-1, -4) and (-4, -6)

d)

(4, 1) and (6, 4)

2.

What is the inverse of the function
f(x) = 2x + 4 ?

a)

f^-1(x) = 4(x -2)

b)

f^-1(x) = (x-4)/2

c)

f^-1(x) = x/2 - 4

d)

f^-1(x) = x/4 + 2

3.

Are these functions inverses of each other?

a)

Yes

b)

No

4.

Find the inverse of f(x) = 1/4x - 7

a)

f^-1(x) = 4x + 7

b)

f^-1(x) = -4x + 28

c)

f^-1(x) = -4x - 7

d)

f^-1(x) = 4x + 28

5.

Find the inverse of f(x) = x² - 5

a)

f^-1(x) = √(x) + 5

b)

f^-1(x) = ∛(x-5)

c)

f^-1(x) = ±√(x+5)

d)

f^-1(x) = x² - 5

6.

The inverse has been reflected over which line?

a)

y = x

b)

x = 0

c)

y = 0

d)

x = -y

7.

What's the best description?

a)

They are both functions, but not inverse functions.

b)

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

c)

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

d)

They are inverse functions.

8.

Which graph represents f^-1(x) over the same domain?

a)

b)

c)

d)

9.

f(x) = -4x - 12

What is f^-1(x)?

a)

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

b)

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

c)

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

d)

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

10.

Which is f ^-1(x)?

a)

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

b)

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

c)

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

d)

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

11.

Which is f ^-1(x)?

a)

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

b)

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

c)

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

d)

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

12.

a)

b)

c)

d)

13.

FInd the inverse of the function.
$f\left(x\right)=\frac{3x-15}{2}$

a)

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

b)

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

c)

$f^{-1}\left(x\right)=\frac{15+2x}{3}$

d)

$f^{-1}\left(x\right)=\frac{2}{3}x-\frac{19}{3}$

14.

Find the inverse of the function.
$f\left(n\right)=-4-\frac{2}{5}n$

a)

$f^{-1}\left(n\right)=\frac{-6-5n}{2}$

b)

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

c)

$f^{-1}\left(n\right)=-\frac{5}{2}n-10$

d)

$f^{-1}\left(n\right)=\frac{-2n-4}{5}$

15.

State if the given functions are inverses.

a)

yes

b)

no

16.

Which of the following is NOT TRUE about inverse functions?

a)

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

b)

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

c)

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

d)

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

17.

Which is g ^-1(t)?

a)

g^-1(t) = 1/6(t) + 1/6

b)

g^-1(t) = 6t + 1

c)

g^-1(t) = 1/6(t) + 1

d)

g^-1(t) = 1/6(t) + 6

18.

If f^-1(-25) = 7 then what is f(7) =

a)

25

b)

7

c)

No enough information.

d)

-25

19.

If the domain of f(x) is x ≥ 4, then the ____ of ____ is y ≥ 4

a)

domain, f^-1(x)

b)

range, f(x)

c)

range, f^-1(x)

d)

domain, f(x)

20.

Given f(x) = x+3, find f^-1(-2).

a)

-1

b)

1

c)

5

d)

-5

Inverse Function Quiz

Total questions: 20

Worksheet time: 56mins

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