Composite Function Proving Inverses

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)

• (-4, -1) and (-6, -4)

• (-1, -4) and (-4, -6)

• (4, 1) and (6, 4)

• 9 - √17
• 4
• 2
• √8

Are these the graphs of two inverse functions?

• Yes

• No

• No way to tell

f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)

• 16

• 4

• -4

• None of these.

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

• function notation

• composition of functions

• function multiplication

• combined functions

Are these functions inverses?

• Yes

• No

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

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

• x

• f(x)

• 1

• 0

State if the two functions are inverses of each other:

• A

• B

• True

• False