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Unformatted text preview: Math 1330 Section 1.4 Example 4: The graphs of two functions, f and g , are shown below. Find the following a. gG + ¡¢g0¢ b. g¡ − G¢g2¢ c. g¡ ∘ G¢g2¢ d. G£¡g−3¢¤1242543 5 4 3 2 2 1 1 3 4135 Math 1330 Section 1.5 Section 1.5: Inverse Functions We’ll start by reviewing onetoone functions . A function is onetoone if it passes the Horizontal Line Test (HLT). The Horizontal Line Test: A function is onetoone if any horizontal line intersects the graph of the function in no more than one point. Example 1: Determine if the function graphed is onetoone. The inverse function of a onetoone function is a function g G¡ ¢£¤ such that ¢g ¥ g G¡ ¤ ¦ ¢g G¡ ¥ g¤ ¦ £ . To determine if two functions are inverses of one another, you need to compose the functions in both orders. Your result should be x in both cases. That is, given two functions f and g , the functions are inverses of one another if and one if f ( g ( x )) = g ( f ( x )) = x ....
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This note was uploaded on 09/14/2011 for the course MATH calc taught by Professor N/a during the Spring '10 term at University of Houston.
 Spring '10
 N/A

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