Which of the following statements is true for a function $$f(x)$$ and its inverse $$f^{-1}(x)$$ ?

$$f(f^{-1}(x)) = x$$ for all $$x$$ in the domain of $$f^{-1}$$

$$f^{-1}(f(x)) = x$$ for all $$x$$ in the domain of $$f$$

If $$g(x) = \sqrt{x+4}$$ and $$h(x) = x^2 - 4$$ , verify if $$g$$ and $$h$$ are inverse functions.

They are inverses only if $$x \geq 0$$

They are inverses only if $$x \geq -4$$

Graphically, how can you verify if two functions are inverses of each other?

Their graphs will be symmetric about the line $$y = x$$

Their graphs will intersect at the line $$y = x$$

Their graphs will be parallel to the line $$y = x$$

What is the primary condition for a function to have an inverse?

The function must be one-to-one

The function must be continuous

The function must pass the vertical line test

Test 5 Extra Practice

Quiz

•

Mathematics

•

10th Grade

•

Practice Problem

•

Medium

•

CCSS

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

+3

Standards-aligned

Gigi Torres

Used 1+ times

FREE Resource

34 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is the inverse function found correctly?

yes

no

Tags

CCSS.HSF-BF.B.4A

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Was the inverse function found correctly?

no,

yes

Tags

CCSS.HSF-BF.B.4A

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Are these the graphs of two inverse functions?

Yes

No

No way to tell

Tags

CCSS.HSF-BF.B.4C

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Are these inverse functions?

no

yes

no way to tell

Tags

CCSS.HSF-BF.B.4B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Are the following inverses of each other?

True

False

Tags

CCSS.HSF-BF.B.4B

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Are the blue and red graphs inverse functions?

yes

no

no way to tell

Tags

CCSS.HSF-BF.B.4B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Both A and B are correct

Neither A nor B is correct

Tags

CCSS.HSF-BF.B.4B

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