Inverse Compositions

Determine whether g(x)=3x-6 and f(x)=1/3x+2 are inverses.

• yes

• no

Tags

CCSS.HSF-BF.B.4B

Given that f(x) = 3x + 5 and g(x) = 1/3x + 5, find f(g(x)).  Are the two functions inverses of each other?

• x + 20 ; Yes they are inverses

• x + 20 ; No, they are not inverses

• x ; Yes they are inverses

• x ; No, they are not inverses

Tags

CCSS.HSF-BF.B.4B

• Inverse Functions
• Not Inverse Functions

Tags

CCSS.HSF-BF.B.4B

Tags

CCSS.HSF-BF.B.4B

• Yes

• No

Tags

CCSS.HSF-BF.B.4B

The composition of any function, f(x), and
its inverse, f^-1(x) = 

• x

• f(x)

• 1

• 0

Tags

CCSS.HSF-BF.B.4B

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.4A

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

Are the following inverses of each other?

• True

• False

Tags

CCSS.HSF-BF.B.4B