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 49E
To determine

To express:the given functionin the form of fgh .

Expert Solution

Answer to Problem 49E

  sec(h(x))4=sec4(h(x))=sec4x .

Explanation of Solution

Given:

The given function is H(x)=sec4x .

Calculation:

As the given function is H(x)=sec4x .

The expression can be expressed as

  H(x)=(secx)4

Define f(x)=x4

And g(x)=sec(x)

Also, g(x)=x

Therefore,

  (fgh)(x)=f(gh)4=g(h(x))4=sec(h(x))4=sec4(h(x))=sec4x=H(x)=sec4x=H(x)

Hence,the function is sec(h(x))4=sec4(h(x))=sec4x

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