Inverse Functions

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What is an inverse function?

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An inverse function reverses the operation of the original function, meaning if the function takes an input x and produces an output y, the inverse function takes y and produces x.

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CCSS.HSF-BF.B.4A

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The inverse of a function is reflected over which line?

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y = x

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CCSS.HSF-BF.B.4C

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What does it mean to find the inverse of a function?

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It means to switch the x's and y's in the function.

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CCSS.HSF-BF.B.4A

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How do you find the inverse of a linear function?

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To find the inverse of a linear function, solve for x in terms of y and then switch the variables.

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CCSS.HSF-BF.B.4A

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CCSS.HSF-BF.B.4A

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CCSS.HSF-BF.B.4A

Front

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

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Replace f(x) with y.

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CCSS.HSF-BF.B.4A

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If a function is one-to-one, what can be said about its inverse?

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The inverse will also be a function.

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What is the notation for the inverse of a function f?

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The notation is f^{-1}(x).

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CCSS.HSF-BF.B.4A