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Unformatted text preview: 1f is A. Example 4: Determine if 2 5 ) (= x x f and 5 2 5 1 ) (= x x g are inverses of one another. Example 5: Determine if , 1 ) ( 2 ≥ + = x x x f and 1 ) (= x x g are inverses of one another. Math 1330 Class Notes – Section 1.5, Page 3 of 4 You need to be able to find the inverse of a function. Follow this procedure to find an inverse function: 1. Rewrite the function as ). ( x f y = 2. Interchange x and y . 3. Solve the equation you wrote in step 2 for y . 4. Rewrite the inverse using inverse notation, ). ( 1 x fExample 6: You know that 7 4 ) (= x x f is a onetoone function. Find its inverse. Example 7: Determine if 5 , ) 5 ( ) ( 2 ≥= x x x f is a onetoone function. If it is, find its inverse. Math 1330 Class Notes – Section 1.5, Page 4 of 4 Example 8: x x x f+ = 2 1 ) ( is a onetoone function. Find its inverse. Example 9: If ) 1 ( , 2 ) 1 ( 1 ==f f and , 5 ) 2 ( = f find ) ( f and ) 5 ( 1f ....
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 Fall '08
 Staff
 Inverse Functions, Inverse function, Injective function, horizontal line test

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