Inverse Functions of Square Root Functions

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

Tags

CCSS.HSF-BF.B.4A

What operation allows us to verify if functions are inverses?

• Multiplying

• Dividing

• Adding

• Composing

Tags

CCSS.HSF-BF.B.4B

The inverse has been reflected over which line?

• y = x

• x = 0

• y = 0

• x = -y

Tags

CCSS.HSF-BF.B.4B

What is the inverse of the function?

• f^-1(x) = √(x - 2)

• f^-1(x) = √(x + 2)

• f^-1(x) = ± √(x + 2)

• f^-1(x) = ± √(x - 2)

Tags

CCSS.HSF-BF.B.4D

What is the inverse of the function?

• f^-1(x) = (x - 8)², x ≥ 8

• f^-1(x) = (x - 8)², x ≥ 0

• f^-1(x) = (x + 8)², x ≥ 8

• f^-1(x) = (x + 8)², x ≥ 0

Tags

CCSS.HSF-BF.B.4D

What is the inverse of the function?

• f^-1(x) = x² - 3, x ≥ -3

• f^-1(x) = x² - 3, x ≥ 0

• f^-1(x) = x² + 3, x ≥ -3

• f^-1(x) = x² + 3, x ≥ 0

Tags

CCSS.HSF-BF.B.4A

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.

Tags

CCSS.HSF-BF.B.4C

What is the best description?

• They are both functions, but not inverse functions.

• They are 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.

Tags

CCSS.HSF-BF.B.4B

How must the domain of f(x) be restricted such that g(x)=f^-1(x) ?

• x ≤ 0

• x ≥ 0

• x ≤ 3

• x ≥ 3

Tags

CCSS.HSF-BF.B.4D