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- 7 %3D (b) f(x) = -6x g (x) = 2x + 7 g (x) = -6x sl8(x)) = ] s(g (x)) = 0 g(f(x)) = ] 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 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- 7 %3D (b) f(x) = -6x g (x) = 2x + 7 g (x) = -6x sl8(x)) = ] s(g (x)) = 0 g(f(x)) = ] 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 g are not inverses of each other

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.1: Inverse Functions

Problem 55E

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