Determine if the given functions are inverses. $$f\left(x\right)=-\sqrt[]{x+3}-4$$ $$g\left(x\right)=\left(-x-4\right)^2-3$$

Yes, they are inverses with the domain restriction of $$x\le-4$$ for g(x).

Yes, they are inverses with the domain restriction of $$x\ge-4$$ for g(x).

Yes, they are inverses with the domain restriction of $$x\le-3$$ for g(x).

Choose all that are correct. Which statements about inverses are correct?

The inverse of a square root is a quadratic with a domain restriction.

The graph of $$y=f^{-1}\left(x\right)$$ is the reflection of the graph $$y=f\left(x\right)$$ over the line y=x

The range of $$y=f^{-1}\left(x\right)$$ is the domain of $$y=f\left(x\right)$$

The range of $$y=f\left(x\right)$$ is also the range of $$y=f^{-1}\left(x\right)$$

Put the steps to solve for the inverse in the correct order f(x)= $$\left(x-3\right)^2+5$$ where x $$\le$$ 3

take the square root of both sides

re-write using inverse notation, determine if you need the positive or negative square root

Inverse and Restriction Function

Quiz

•

Mathematics

•

11th Grade

•

Practice Problem

•

Hard

•

CCSS

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

+1

Standards-aligned

Anthony Clark

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Select the table that represents the inverse of this relation:

Tags

CCSS.HSF-BF.B.4C

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Are these inverse functions?

no

yes

no way to tell

Tags

CCSS.HSF-BF.B.4B

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Are the purple and green graphs inverses?

yes

no

no way to tell

Tags

CCSS.HSF-BF.B.4B

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Yes, they are inverse functions with no restriction

No, they are not inverses

Tags

CCSS.HSF-BF.B.4D

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Are the blue and red graphs inverse functions?

yes

no

no way to tell

Tags

CCSS.HSF-BF.B.4B

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Are these the graphs of two inverse functions?

Yes

No

No way to tell

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is the inverse function found correctly?

yes

no

Tags

CCSS.HSF-BF.B.4A

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Inverse and Restriction Function

20 questions

Select the table that represents the inverse of this relation:

Are these inverse functions?

Are the purple and green graphs inverses?

Are the blue and red graphs inverse functions?

Are these the graphs of two inverse functions?

Is the inverse function found correctly?

An (a) takes a previously found result ( a y value) and returns it to its original value (x value). This means you are (b) a function

Was the inverse function found correctly?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Inverse and Restriction Function

20 questions

Select the table that represents the inverse of this relation:

Are these inverse functions?

Are the purple and green graphs inverses?

Are the blue and red graphs inverse functions?

Are these the graphs of two inverse functions?

Is the inverse function found correctly?

An ​ (a) takes a previously found result ( a y value) and returns it to its original value (x value). This means you are ​ (b) a function

Was the inverse function found correctly?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

An (a) takes a previously found result ( a y value) and returns it to its original value (x value). This means you are (b) a function