Inverses Using Function Composition

When using composition to verify 2 functions are inverses, g(f(x)) and f(g(x)) must equal

• x

• y

• f(x)

• g(x)

Tags

CCSS.HSF-BF.B.4B

The inverse of the function f(x) is written as ...

• f ^-1(x)

• f ²(x)

• f '(x)

• f ⁺(x)

Tags

CCSS.HSF-BF.B.4A

What are the missing values if g(x)=f^-1(x)?

• (9,-5)

• (-9,-5)

• (5,9)

• (-9,5)

Tags

CCSS.HSF-BF.B.4C

Verify if the functions are inverses using composition of functions:

Tags

CCSS.HSF-BF.B.4B

Tags

CCSS.HSF-BF.B.4A

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

• True

• False

Tags

CCSS.HSF-BF.B.4B

Tags

CCSS.HSF-BF.B.4B

• Yes

• No

Tags

CCSS.HSF-BF.B.4B

Tags

CCSS.HSF-BF.B.4B

The algebraic process used to formally prove that two functions are inverses is called:

• function notation

• composition of functions

• function multiplication

• combined functions

Tags

CCSS.HSF-BF.B.4B