   Chapter 1.3, Problem 41E ### 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.41. f ( x ) = x − 3 , g(x) = x2, h(x) = x3 + 2

To determine

To find: The composite function (fgh)(x) .

Explanation

Given:

The functions are f(x)=x3,g(x)=x2,h(x)=x3+2 .

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 x3+2 for x in g(x)

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### In Exercises 1-6, solve for y. y=15x

Calculus: An Applied Approach (MindTap Course List)

#### In Problems 19-44, factor completely. 21.

Mathematical Applications for the Management, Life, and Social Sciences

#### In Exercises 1-8, determine which of the matrices are regular. 

Finite Mathematics for the Managerial, Life, and Social Sciences

#### Sometimes, Always, or Never: If f(x) is continuous on [a, b], then abf(x) dx exists.

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