GRAPHS AND FUNCTIONS Determining whether two functions are inverses of each other For each pair of functions f and g below, find f (g (x)) and g (f(x)). Then, determine whether f and 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.) x + 3 (a) f(x) = 6x (b) f(x) : 2 g (+) = g (x) = 2x - 3 6. sle (x)) = 0 s(8 (x)) = 0 %3D g((x)) = D. g((x)) Of and g are inverses of each other Of and g are inverses of each other Of and g are not inverses of each other of and are not inverses of each other II

GRAPHS AND FUNCTIONS Determining whether two functions are inverses of each other For each pair of functions f and g below, find f (g (x)) and g (f(x)). Then, determine whether f and 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.) x + 3 (a) f(x) = 6x (b) f(x) : 2 g (+) = g (x) = 2x - 3 6. sle (x)) = 0 s(8 (x)) = 0 %3D g((x)) = D. g((x)) Of and g are inverses of each other Of and g are inverses of each other Of and g are not inverses of each other of and are not inverses of each other II

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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