Composition and Inverse of Functions

Which is f ^-1(x)?

• f ^-1(x) = 3x + 5

• f ^-1(x) = 3x - 5

• f ^-1(x) = 3x - 15

• f ^-1(x) = 3x + 15

Are the following inverses of each other?

• True

• False

Are these inverse functions?

• no

• yes

• no way to tell

Are f(x) =x+6 and g(x) =x-6 inverses?

• Yes

• No

What operation allows us to verify if functions are inverses?

• Multiplying

• Dividing

• Adding

• Composition of function

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

• x

• f(x)

• 1

• 0

Are these functions inverses?

• Yes

• No

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

• 3x² - 2

• 3x + 8

• 3x + 4

• None of these.

What does it mean to find the inverse of a function?

• the x's and y's are switched

• the x's and y's are divided by 2

• the x's and y's are made negative

• the x's and y's are the same

A function, f(x), goes through (1, 4) and (4, 6), what points below does it's inverse 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)