Verifying Inverse Functions

Verifying Inverse Functions

9th - 12th Grade

10 Qs

quiz-placeholder

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Verifying Inverse Functions

Verifying Inverse Functions

Assessment

Quiz

Mathematics

9th - 12th Grade

Practice Problem

Medium

CCSS
HSF-BF.B.4B, HSF-BF.A.1C

Standards-aligned

Created by

Lindsay Kirk

Used 104+ times

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Verify if the two functions are inverses of each other. f(x)=x5f\left(x\right)=-x-5  

 g(x)=3x9g\left(x\right)=-3x-9  

SHOW YOUR WORK

Inverse Functions

Not Inverse Functions

Tags

CCSS.HSF-BF.B.4B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 f(x) = 5x  5f\left(x\right)\ =\ 5x\ -\ 5   g(x) = 15x + 1g\left(x\right)\ =\ \frac{1}{5}x\ +\ 1  

Use composition of functions to determine if f(x) and g(x) are inverse functions.


SHOW YOUR WORK

yes

no

Tags

CCSS.HSF-BF.B.4B

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 f(x)=3x+10f(x)=3x+10  

 g(x)=13x3g\left(x\right)=\frac{1}{3}x-3  
Find  g(f(x))g(f(x))  

SHOW YOUR WORK

 f(g(x))=1f(g(x))=1  

 f(g(x))=xf(g(x))=x  

 f(g(x))=0f(g(x))=0  

None of these.

Tags

CCSS.HSF-BF.A.1C

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Verify if f(x)f\left(x\right)  and  g(x)g\left(x\right)  are inverses of each other.

 f(x)=4+13xf\left(x\right)=4+\frac{1}{3}x  


 g(x)=3x12g\left(x\right)=3x-12  

SHOW YOUR WORK

Inverse Functions

Not Inverse Functions

Tags

CCSS.HSF-BF.B.4B

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What operation allows us to verify if functions are inverses?

Multiplying

Dividing

Adding

Composing

Tags

CCSS.HSF-BF.B.4B

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

To prove two functions are inverses of each other, both f(g(x)) and g(f(x)) should equal...

1

x

0

y

Tags

CCSS.HSF-BF.B.4B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Use composition of functions to determine if f(x) and g(x) are inverse functions.


 f(x)=2x3f\left(x\right)=2\sqrt{x}-3  
 g(x)=(x+32)2g\left(x\right)=\left(\frac{x+3}{2}\right)^2  

SHOW YOUR WORK

yes

no

Tags

CCSS.HSF-BF.B.4B

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