   Chapter 1.3, Problem 39E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Find f ◦ g ◦ h.39. f(x) = 3x – 2, g (x) = sin x, h(x) = x2

To determine

To find: The function fgh .

Explanation

Given:

The functions are f(x)=3x2,g(x)=sinx,h(x)=x2 .

Calculation:

The composite function (fgh)(x) is defined as follows.

(fgh)(x)=f(gh)(x)

First, find the composite function of (gh)(x) .

The composite function (gh)(x) is defined as follows.

(gh)(x)=g(h(x))

Substitute x2 for x in g(x)

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Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 