2 Identify f(x), g(x), and h(x) such that F(x) = f(g(h(x))) for the function F(x) = Vin(x+ In(x+ + 6) Answer 2 O fx) = x* + 6, g(x) h(x) = Vĩ Inx' 2 of(x) = x* + 6, g(x) = Inx, h(x) O f(x) = Vx, g(x) = h(x) = x* + 6 Inx' ofx) = 2 g(x) = Inx, h(x) =x* +6

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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Question
Identify f(x), g(x), and h(x) such that F(x) = f(g(h(x))) for the function F(x)
VIn(x+ + 6)
Answer
O f(x) = x* + 6, g(x)
2
h(x) =
Inx'
2
ofx) = x* + 6, g(x) = Inx, h(x)
O f(x) = V, 8(x) :
h(x) = x* + 6
Inx'
of(x) =
2
g(x) = Inx, h(x) = x4 + 6
Transcribed Image Text:Identify f(x), g(x), and h(x) such that F(x) = f(g(h(x))) for the function F(x) VIn(x+ + 6) Answer O f(x) = x* + 6, g(x) 2 h(x) = Inx' 2 ofx) = x* + 6, g(x) = Inx, h(x) O f(x) = V, 8(x) : h(x) = x* + 6 Inx' of(x) = 2 g(x) = Inx, h(x) = x4 + 6
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