Inverse Functions

Front

What is an inverse function?

Back

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.

Front

The inverse of a function is reflected over which line?

Back

y = x

Front

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

Back

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

Front

How do you find the inverse of a linear function?

Back

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

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Front

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

Back

Replace f(x) with y.

Front

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

Back

The inverse will also be a function.

Front

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

Back

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

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