BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 1.3, Problem 40E
To determine

To find:the given function fgh .

Expert Solution

Answer to Problem 40E

  (fgh)(x)=tan[x3x31] .

Explanation of Solution

Given:

The given function is f(x)=tanx,g(x)=xx1,h(x)=x3 .

Calculation:

As the given function is f(x)=tanx,g(x)=xx1,h(x)=x3 .

First solve the function (gh)(x) and then (fgh)(x) .

  (gh)(x)=x3x31

  (fgh)(x)=f(p(x))=tan(p(x))=tan[x3x31]

Hence,the range and domain are (fgh)(x)=tan[x3x31]

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