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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 Gg2 c. g Gg2 d. Gg3-1-2-4-2-5-4-3 5 4 3 2 2 1 1 3 4-1-3-5 Math 1330 Section 1.5 Section 1.5: Inverse Functions Well start by reviewing one-to-one functions . A function is one-to-one if it passes the Horizontal Line Test (HLT). The Horizontal Line Test: A function is one-to-one if any horizontal line intersects the graph of the function in no more than one point. Example 1: Determine if the function graphed is one-to-one. The inverse function of a one-to-one 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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- Spring '10