Inverse Functions

Front

The inverse of the function f(x) is written as ...

Back

f^{-1}(x)

Front

Was the inverse function found correctly?

Back

No

Front

The inverse has been reflected over which line?

Back

y = x

Front

Find the inverse of f(x) = -4x - 12

Back

f^{-1}(x) = -1/4x - 3

Front

When finding the inverse of a relation, 1st: replace f(x) with y 2nd: switch the x's and y's. What do you do next?

Back

Solve for y

Front

What is an inverse function?

Back

A function that reverses the effect of the original function.

Front

If f(x) = 2x + 3, what is f^{-1}(x)?

Back

f^{-1}(x) = (x - 3)/2

Front

What is the relationship between a function and its inverse?

Back

The output of the original function becomes the input of the inverse function.

Front

How do you verify if two functions are inverses?

Back

If f(f^{-1}(x)) = x and f^{-1}(f(x)) = x for all x.

Front

What is the domain of an inverse function?

Back

The range of the original function.