5.6 Inverse of a Function Exit Ticket

Solve y = f(x) for x when f(x) = 2x^2. What is the input when the output is 2?

• 1

• -1

• 0.5

• -0.5

Tags

CCSS.HSF.IF.A.2

Solve y = f(x) for x when f(x) = -x^3 + 3. What is the input when the output is 2?

• 1

• -1

• 0

• 2

Tags

CCSS.HSF.IF.A.2

Find the inverse of the function f(x) = 2x. What is the inverse function?

• f^(-1)(x) = x/2

• f^(-1)(x) = 2x

• f^(-1)(x) = x^2

• f^(-1)(x) = -2x

Tags

CCSS.HSF-BF.B.4A

Find the inverse of the function f(x) = -x^2, x ≤ 0. What is the inverse function?

• f^(-1)(x) = -√x

• f^(-1)(x) = √x

• f^(-1)(x) = -x

• f^(-1)(x) = x

Tags

CCSS.HSF-BF.B.4D

Find the inverse of the function f(x) = -x^3 + 4. What is the inverse function?

• f^(-1)(x) = -∛(x - 4)

• f^(-1)(x) = ∛(x - 4)

• f^(-1)(x) = -∛(x + 4)

• f^(-1)(x) = ∛(x + 4)

Tags

CCSS.HSF-BF.B.4A

Find the inverse of the function f(x) = √x + 2. What is the inverse function?

• f^(-1)(x) = (x - 2)^2

• f^(-1)(x) = √(x - 2)

• f^(-1)(x) = (x + 2)^2

• f^(-1)(x) = √(x + 2)

Tags

CCSS.HSF-BF.B.4A

Fill in the blank: The functions f(x) = 8x^3 and g(x) = 3√2x are ______ inverse functions.

• always

• sometimes

• never

Tags

CCSS.HSF-BF.B.4B

If f(x) = 8x^3, what is the inverse function g(x)?

• g(x) = 3√x/8

• g(x) = 3√2x

• g(x) = x^3/8

Tags

CCSS.HSF-BF.B.4A

What is the result of composing the functions f(x) = x + 5 and g(x) = x - 5?

• x

• x + 10

• x - 10

Tags

CCSS.HSF-BF.A.1C

Which operation is used to verify if two functions are inverses?

• Addition

• Composition

• Multiplication

Tags

CCSS.HSF-BF.B.4B