Inverse Functions Consider a person walking, where time is calculated in seconds, and distance is calculated in feet.

In table form, the function might look like the following: Time Distance

Now consider another function related to the first.

In table form, the function g is given below: Distance Time 01234

We say that function g is the inverse of function f.

Compare the Domain and Range of the two functions. f: Time Dist g: Dist Time Domain f Range f = Range g = Domain g

Notice the relationship of x -values and function values. f: Time Distance g: Dist Time f (3)=30 g (30)=3

Composite operation with inverses. f: Time Distance g: Dist Time f (g(30))=30=f(3)