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

## Presentation on theme: "Inverse Functions Consider a person walking, where time is calculated in seconds, and distance is calculated in feet."— Presentation transcript:

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 01234 Distance 010203040

Now consider another function related to the first.

In table form, the function g is given below: Distance 010203040 Time 01234

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

Compare the Domain and Range of the two functions. f: Time 01234 Dist 010203040 g: Dist 010203040 Time 01234 Domain f Range f = Range g = Domain g

Notice the relationship of x -values and function values. f: Time 01234 Distance 010203040 g: Dist 010203040 Time 01234 f (3)=30 g (30)=3

Composite operation with inverses. f: Time 01234 Distance 010203040 g: Dist 010203040 Time 01234 f (g(30))=30=f(3)

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