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.) (a) f(x) = x + 2 (b) f(x) = %3D -- g (x) = x – 2 6. 8(x): x + 0 %3D sle (:)) = 0 %3D sle (x)) = O %3D g( (4)) = D g( (4)) = O 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 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.) (a) f(x) = x + 2 (b) f(x) = %3D -- g (x) = x – 2 6. 8(x): x + 0 %3D sle (:)) = 0 %3D sle (x)) = O %3D g( (4)) = D g( (4)) = O 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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