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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

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

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.4: Operations On Functions
Problem 124E
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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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