Free Printable Test: Inverse Functions

1.

a)

A

b)

B

c)

C

d)

D

2.

What is the Inverse of the function $y=2x+7$

a)

$y=-2x-7$

b)

$y=7x+2$

c)

$y=\frac{\left(x-7\right)}{2}$

d)

$y=\frac{\left(x-2\right)}{7}$

3.

What is the inverse of the points
(1,3)(2,4)(6,8)

a)

(3,1)(4,2)(8,6)

b)

(-3,-1)(-4,-2)(-8,-6)

c)

(1,3)(2,4)(6,8)

d)

(-1,-3)(-2,-4)(-6,-8)

4.

Are these functions inverses?

a)

Yes

b)

No

5.

Are these the graphs of two inverse functions?

a)

Yes

b)

No

c)

No way to tell

6.

Which graph is the inverse of the graph shown?

a)

b)

c)

d)

7.

Which graph is the inverse of the graph shown?

a)

b)

c)

d)

8.

Find the inverse function of $f\left(x\right)=\sqrt{x}-6$

a)

$y=\left(x+6\right)^2$

b)

$y=\left(x-6\right)^2$

c)

$y=x^2+6$

d)

$y=x^2+36$

9.

Find the inverse function of $y=\left(x-4\right)^2+3$

a)

$y=\sqrt{x-3}+4$

b)

$y=\sqrt{x+3}-4$

c)

$y=\sqrt{x-3+4}$

d)

$y=\sqrt{3x+1}$

10.

State if the functions are inverses.

h\left(x\right)=\ \frac{\left(x-3\right)^2}{9},\ x\ \ge\ 3

f\left(x\right)\ 9\sqrt{x+3}

a)

Yes

b)

No

11.

Find the inverse of $f\left(x\right)=6^x$ .

a)

$f^{-1}\left(x\right)=\log_x6$

b)

$f^{-1}\left(x\right)=\log_6x$

c)

$f^{-1}\left(x\right)=\log_{6x}^{ }$

d)

$f^{-1}\left(x\right)=\log\ \left(6+x\right)$

12.

A logarithmic function is the inverse of an exponential function.

a)

True

b)

False

13.

The inverse of an exponential function is its reflection across the x-axis.

a)

True

b)

False

14.

Find the inverse function of $f\left(x\right)=5^x$

a)

$f^{-1}\left(x\right)\ =\ \log_5x$

b)

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

c)

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

d)

$f^{-1}\left(x\right)=\log5x$

15.

Which equation is the inverse of the equation above?

a)

b)

c)

d)

Test: Inverse Functions

Total questions: 15

Worksheet time: 3hrs 30mins

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