Inverse Functions

Use COMPOSITIONS to determine whether the functions are inverses of each other.

• Inverse Functions

• Not Inverse Functions

Are the following inverses of each other?

• True

• False

If f(x)=x+5, what is f^-1(x)?

• f(x)=(x + 5)²

• f(x)=x - 5

• f(x)=(x + 5)^-1

• undefined

If f(x) is a one-to-one function and

f(2) = 5, what is f^-1(5)?

• 2

• 5

• undefined

• 1/5

What is g^-1(1)?

• 1

• -1

• 3

• -3

What is h^-1(3)?

• 5

• 3

• 7

• -3

If f(x)=3x, what is f^-1(x)?

• x/3

• 3x²

• 3x + 3x

• 3x^-1

When sketching the one-to-one, non-decreasing portion of the function f(x) = x² and its inverse, _______ is the line of symmetry.

• y = x

• x = 0

• y = 0

• y = 2

• A.
• B.
• C.
• D.

• A.
• B.
• C.
• D.