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 37E
To determine

To find:the given function fgh .

Expert Solution

Answer to Problem 37E

  (fgh)(x)=2x1 .

Explanation of Solution

Given:

The given function is f(x)=x+1,g(x)=2x+4,h(x)=x1 .

Calculation:

As the given function is f(x)=x+1,g(x)=2x+4,h(x)=x1 .

  (fgh)(x)=f(g(h(x)))=f(2(x1)){as g(x)=2x}=2(x1)+1{as f(x)=x+1}=2x1

Hence,the range and domain are (fgh)(x)=2x1

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