Finding Nonlinear Inverses with Domain Restrictions

Determine if the given functions are inverses.

• Yes, they are inverse functions with no restriction

• No, they are not inverses

Are the following inverses of each other?

• True

• False

Find the inverse of the function including any restriction on domain

• f^-1 = x³ − 5, x ≥ 5

• f^-1 = x³ + 5,  x ≥ 0

• f^-1 = x³ + 5

• Inverse does not exist

Find the inverse of the function including any restriction on domain

• f^-1 = (x + 3)² − 4, x ≥ −3

• f^-1 = (x − 4)² + 3,  x ≥ 4

• f^-1 = (x + 3)² − 4

• Inverse does not exist

Find the inverse of the function including any restriction on domain

• f^-1 = ((x − 1) / 2)³ − 4, x ≥ −1

• f^-1 = ((x + 4) / 2)³ + 1

• f^-1 = ((x − 4) / 2)³ − 1

• Inverse does not exist

Find the inverse of the function including any restriction on domain

• f^-1 = 2(x − 6)³

• f^-1 = 2(x + 6)³

• f^-1 = (x − 6)³ / 2

• Inverse does not exist

What is the inverse of the function?

What is the inverse of the given function?

What is the inverse of the given function?