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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) = Answer Of(x) = √√√x, g(x) Of(x) = x² + 6, g(x) Of(x) = = Of(x) = x² + 6, g(x) = lnx, h(x) √x 9 /In(x²+6) 9 Inx h(x) = x² + 6 = 9 Inx = h(x) = g(x) = lnx, h(x) = x² √x √x = x² + 6

Identify f(x), g(x), and h(x) such that F(x) = f(g(h(x))) for the function F(x) = Answer Of(x) = √√√x, g(x) Of(x) = x² + 6, g(x) Of(x) = = Of(x) = x² + 6, g(x) = lnx, h(x) √x 9 /In(x²+6) 9 Inx h(x) = x² + 6 = 9 Inx = h(x) = g(x) = lnx, h(x) = x² √x √x = x² + 6

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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) = Answer Of(x) = √√√x, g(x) Of(x) = x² + 6, g(x) Of(x) = = Of(x) = x² + 6, g(x) = lnx, h(x) √x 9 /In(x²+6) 9 Inx h(x) = x² + 6 = 9 Inx = h(x) = g(x) = lnx, h(x) = x² √x √x = x² + 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) = Answer Of(x) = √√√x, g(x) Of(x) = x² + 6, g(x) Of(x) = = Of(x) = x² + 6, g(x) = lnx, h(x) √x 9 /In(x²+6) 9 Inx h(x) = x² + 6 = 9 Inx = h(x) = g(x) = lnx, h(x) = x² √x √x = x² + 6
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