6.1 Inverse Functions

6.1 Inverse Functions - of a Function of a Function 1...

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Inverse Functions Inverse Functions Section 6.1

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Reflective Property of Reflective Property of Inverse Functions Inverse Functions The graph of f contains the point (a, b) iff the graph of f -1 contains the point (b, a)
The Existence of an Inverse The Existence of an Inverse Function Function A function has an inverse iff it is one- to-one. Use horizontal line test to determine if a function has an inverse.

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Guidelines for Finding the Inverse Guidelines for Finding the Inverse

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Unformatted text preview: of a Function of a Function 1. Determine whether the function has an inverse. 2. Solve for x as a function of y. 3. Interchange x and y. 4. Define the domain of f -1 to be the range of f . 5. Verify that f(f -1 (x))= x and f -1 (f(x))=x Joke Time Joke Time What do cats eat for breakfast? Mice Krispies What did the canary say when its new cage fell apart? CHEEP CHEEP Where does a sheep go to get a hair cut? To the baa baa shop!...
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