Inverses and Invertible Functions

Which of the following best describes the graph?

• 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.

Are these inverse functions?

• no

• yes

• no way to tell

• Yes, they are inverse functions with no restriction

• No, they are not inverses

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

What is the domain for the inverse function?

Find the inverse of f(x) = -3x²+5

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Select the table that represents the inverse of this relation:

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Are the purple and green graphs inverses?

• yes

• no

• no way to tell

Are the purple and green graphs inverses?

• yes

• no

• no way to tell

The cube root function is invertible.

• True

• False