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Unformatted text preview: Recall that a Function f is onetoone (oFten written as 1 1) iF it assigns distinct values oF y to distinct values oF x . In other words, iF x 1 n= x 2 then f ( x 1 ) n= f ( x 2 ). Equivalently, f is onetoone iF f ( x 1 ) = f ( x 2 ) implies x 1 = x 2 . There is a simple horizontal rule For determining whether a Function y = f ( x ) is onetoone: f is onetoone iF and only iF every horizontal line intersects the graph oF y = f ( x ) in the xycoordinate plane at most once (see igure 5.3.3). y x y = f ( x ) (a) f is onetoone y x y = f ( x ) (b) f is not onetoone Figure 5.3.3 Horizontal rule For onetoone Functions IF a Function f is onetoone on its domain, then f has an inverse function , denoted by f 1 , such that y = f ( x ) iF and only iF f 1 ( y ) = x . The domain oF f 1 is the range oF f ....
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This note was uploaded on 01/21/2012 for the course MAC 1130 taught by Professor Dr.cheun during the Fall '11 term at FSU.
 Fall '11
 Dr.Cheun
 Calculus, Inverse Functions

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