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

f − 1 ( x ) = log ⁡ 6 x f^{-1}\left(x\right)=\log_6x f − 1 ( x ) = lo g 6 x

f − 1 ( x ) = log ⁡ x 6 f^{-1}\left(x\right)=\log_x6 f − 1 ( x ) = lo g x 6

f − 1 ( x ) = log ⁡ 6 x f^{-1}\left(x\right)=\log_{6x}^{ } f − 1 ( x ) = lo g 6 x

f − 1 ( x ) = log ⁡ ( 6 + x ) f^{-1}\left(x\right)=\log\ \left(6+x\right) f − 1 ( x ) = lo g ( 6 + x )

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

f − 1 ( x ) = log ⁡ 5 x f^{-1}\left(x\right)\ =\ \log_5x f − 1 ( x ) = lo g 5 x

f − 1 ( x ) = log ⁡ 5 x f^{-1}\left(x\right)=\log_{5x} f − 1 ( x ) = lo g 5 x

f − 1 ( x ) = 5 log ⁡ x f^{-1}\left(x\right)=5\log x f − 1 ( x ) = 5 lo g x

f − 1 ( x ) = log ⁡ 5 x f^{-1}\left(x\right)=\log5x f − 1 ( x ) = lo g 5 x

Test: Inverse Functions

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF-BF.B.4A, HSF-BF.B.4C, HSF-BF.B.4B

+1

Standards-aligned

Mr Woods

Used 7+ times

FREE Resource

15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

A

B

C

D

Tags

CCSS.HSF-BF.B.4A

2.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Tags

CCSS.HSF-BF.B.4A

3.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

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

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

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

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

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

Tags

CCSS.HSF-BF.B.4C

4.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Are these functions inverses?

Yes

No

Tags

CCSS.HSF-BF.B.4B

5.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Are these the graphs of two inverse functions?

Yes

No

No way to tell

6.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Which graph is the inverse of the graph shown?

Tags

CCSS.HSF-BF.B.4C

7.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Which graph is the inverse of the graph shown?

Tags

CCSS.HSF-BF.B.4C

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Test: Inverse Functions

15 questions

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

Are these functions inverses?

Are these the graphs of two inverse functions?

Which graph is the inverse of the graph shown?

Which graph is the inverse of the graph shown?

State if the functions are inverses. h(x)= (x−3)29, x ≥ 3h\left(x\right)=\ \frac{\left(x-3\right)^2}{9},\ x\ \ge\ 3h(x)= 9(x−3)2​, x ≥ 3 f(x) 9x+3f\left(x\right)\ 9\sqrt{x+3}f(x) 9x+3​

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Discover more resources for Mathematics

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

State if the functions are inverses.

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