Inverse and Restriction Function

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 = (x² + 2),  x ≤ 0

• f^-1 = (x² + 1) / 2,  x ≤ 0

• f^-1 = (x² − 1) / 2,  x ≥ 0

• 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?

What is the first step in finding the equation of the inverse of a function?

• get x by itself

• switch x and y

• solve for y

• write the function in inverse function notation

Are the following inverses of each other?

• True

• False