For each pair of functions f and 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) = 6x (b) f(x) = 2x + 7 x+7 8(x) = - g(x) 6 2 f(g(x)) = f(g(x)) = g (f(x)) = g (f(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 g are not inverses of each other

For each pair of functions f and 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) = 6x (b) f(x) = 2x + 7 x+7 8(x) = - g(x) 6 2 f(g(x)) = f(g(x)) = g (f(x)) = g (f(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 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

Section2.8: one-to-one Functions And Their Inverses

Problem 2E: (a) For a Function to have an inverse, it must be______ So which one of the following functions has...

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