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 f(x) = g(h(x)). Be sure to play close attention to the order of composition. f(x) = tan (6+tan (x)) (a) If g(x)= tan (x), then h(x) =|| (b) If h(x)= tan (a), then g(x) =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 f(x) = g(h(x)). Be sure to play close attention to the order of
composition.
(a) If g(x) = tan (x), then
h(x) = |
(b) If h(x) = tan (x), then g(x) -0
= tan (6 + tan (x))
f(x) =
Transcribed Image Text: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 f(x) = g(h(x)). Be sure to play close attention to the order of composition. (a) If g(x) = tan (x), then h(x) = | (b) If h(x) = tan (x), then g(x) -0 = tan (6 + tan (x)) f(x) =
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