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Unformatted text preview: (b) 1 , 1 1, 1 x x y x x< =A function is onetoone if to each value of the dependent variable in the range there corresponds exactly one value of the independent variable. Horizontal line test: If every horizontal line intersects the graph of the function at most once, then the function is onetoone. Note: The graph of a onetoone function must satisfy both the vertical line test and the horizontal line test. 2 Function notation: ( ) f x read as f of x . Example 3 : Let 2 ( ) 2 1 f x x x =, find (a) ( ) f x x + V (b) ( ) ( ) f x x f x x +V V Example 4 : Let ( ) 2 3 f x x =and 2 ( ) 1 g x x = + , find a) ( ( )) f g x b) ( ( )) g f x 3 The graphs of f and 1 fare mirror images of each other with respect to the line y x = . Example 5 : Find the inversion function of ( ) 2 1 f x x =. 4...
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This note was uploaded on 04/17/2008 for the course MAT 111 taught by Professor Fan during the Spring '08 term at Union.
 Spring '08
 FAN
 Calculus, Inverse Functions

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