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

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In table form, the function might look like the following: Time 01234 Distance 010203040

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Now consider another function related to the first.

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

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

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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

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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

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

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