   Chapter 1.3, Problem 40E ### 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.40. f(x) = |x – 4|, g(x) = 2x, h ( x ) = x

To determine

To find: The function fgh.

Explanation

Given:

The functions are f(x)=|x4|,g(x)=2x,h(x)=x.

Definition used:

Let f and g be two functions. Then their composition fg is defined as fg=f(g(x)).

Calculation:

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

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

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

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

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

Substitute x 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 2932, find the value(s) of x that satisfy the expression. 29. 2x2 + 3x 2 0

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### In Problems 19-44, factor completely. 25.

Mathematical Applications for the Management, Life, and Social Sciences

#### Verify directly that n(AB)=n(A)+n(B)n(AB) for the sets in Exercise 3.

Finite Mathematics for the Managerial, Life, and Social Sciences

#### For , f′(x) =

Study Guide for Stewart's Multivariable Calculus, 8th 