Inverses of Radical Functions

What's the name of the inverse of g(x)?

• f(x)
• f^-1(x)
• y
• g^-1(x)

Tags

CCSS.HSF-BF.B.4A

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

Tags

CCSS.HSF-BF.B.4A

Are the following inverses of each other?

• True
• False

Tags

CCSS.HSF-BF.B.4B

Find the inverse of f(x) = x² - 5

• f^-1(x) = √(x) + 5
• f^-1(x) = ∛(x-5)
• f^-1(x) =√(x+5)
• f^-1(x) = x² - 5

Tags

CCSS.HSF-BF.B.4A

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

Tags

CCSS.HSF-BF.B.4D

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

Tags

CCSS.HSF-BF.B.4D

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

Tags

CCSS.HSF-BF.B.4D

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

Tags

CCSS.HSF-BF.B.4D

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

Tags

CCSS.HSF-BF.B.4D