Inverse Functions with Compositions

• Inverse Functions
• Not Inverse Functions

• Inverse Functions
• Not Inverse Functions

To prove two functions are inverses of each other, both f(g(x)) and g(f(x)) should equal...

• 1

• x

• 0

• y

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

• True

• False

f(x) = 3x + 10

g(x) = ⅓x - 3

Find g(f(x))

• f(g(x)) = 1

• f(g(x)) = x

• f(g(x)) = 0

• None of these.

Are these functions inverses of each other?

• Yes

• No

• yes

• no

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

• x

• f(x)

• 1

• 0

Are the following inverses of each other?

• True

• False

Was the inverse function found correctly?

• no

• yes