Suppose that f(x) = g(h(x)). In each part, based on one of the functions provided, find a formula for the other formula such that their composition yields S(x) = g(h(x)). Be sure to play close attention to the order of composition. %3D () = cos (6 + cos (x) (a) If g(x) = cos (x), then h(x) = (b) It h(x) - cos (x), then g(x) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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3 Suppose that f(x) = g(h(x)). In each part, based on one of the functions provided, find a formula for the other formula such that their composition yields
S(x) = g(h(x)). Be sure to play close attention to the order of composition.
S(x) = cos (6+ cos (x)
(a) If g(x) = cos (x), then
h(x) =
(b) If h(x) = cos (x), then g(x) =
Transcribed Image Text:3 Suppose that f(x) = g(h(x)). In each part, based on one of the functions provided, find a formula for the other formula such that their composition yields S(x) = g(h(x)). Be sure to play close attention to the order of composition. S(x) = cos (6+ cos (x) (a) If g(x) = cos (x), then h(x) = (b) If h(x) = cos (x), then g(x) =
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