O GRAPHS AND FUNCTIONS Determining whether two functions are inverses of each other For each pair of functions fand g below, find f(g (x)) and g(f(x)). Then, determine whether fand g are inverses of each other. Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.) (a) f(x) = 2x - 7 (b) f(x) = 6x x+7 8 (x) = 2 g (x) = 6x S8 (*)) = | se (+)) = g/(x)) = | 8(4)) = 0 %3D Of and g are inverses of each other Of and g are inverses of each other J and g are not inverses of each other O/ and g are not inverses of each other
O GRAPHS AND FUNCTIONS Determining whether two functions are inverses of each other For each pair of functions fand g below, find f(g (x)) and g(f(x)). Then, determine whether fand g are inverses of each other. Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.) (a) f(x) = 2x - 7 (b) f(x) = 6x x+7 8 (x) = 2 g (x) = 6x S8 (*)) = | se (+)) = g/(x)) = | 8(4)) = 0 %3D Of and g are inverses of each other Of and g are inverses of each other J and g are not inverses of each other O/ and g are not inverses of each other
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 15CC
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