# To express: the given functionin the form of f ∘ g ∘ h . ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805 ### 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 f∘g∘h .

Expert Solution

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

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!