Inverse Function Equations

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

If f and g are inverse functions, and
f(2) = -1     g(1) = -2     f(1) = -2, 
then which of the following MUST be true?

• g(-2) = 0

• g(1) = 1

• g(-2) = -3

• g(-1) = 2

What is the inverse of this function?

• A

• B

• C

• D

Here is the domain and range for a function:

D: (-∞, ∞)

R: [3, ∞)

What is the domain and range of the inverse?

• D: [3, ∞)

  R: (-∞, ∞)

• D: (-∞, ∞)

  R: [3, ∞)

Are these equations inverses?

• Yes

• No

The inverse has been reflected over which line?

• y = x

• x = 0

• y = 0

• x = -y

Which of the following is NOT TRUE about inverse functions?

• Inverse functions are reflections of each other over the line y = x.

• You find the inverse by switching x and y in the equation.

• The domain of a function always becomes the domain of its inverse.

• The domain of a function always becomes the range of its inverse.

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

• f ^-1(x)

• f ²(x)

• f '(x)

• f ⁺(x)

What's the best description?

• They are both functions, but not inverse functions.

• They are reflected over y=x, but they are not both functions.

• They are not reflected over y=x, and they are not both functions.

• They are inverse functions.

What's the best description?

• They are both functions, but not inverse functions.

• They are reflected over y=x, but they are not both functions.

• They are not reflected over y=x, and they are not both functions.

• They are inverse functions.