BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 2.6, Problem 47E
To determine

To find: The function fogoh for functions f(x)=x4+1 , g(x)=x5 and h(x)=x .

Expert Solution

Answer to Problem 47E

The function fogoh for functions f(x)=x4+1 , g(x)=x5 and h(x)=x is equal to (x5)4+1 .

Explanation of Solution

Given information:

The functions are f(x)=x4+1 , g(x)=x5 and h(x)=x .

Calculation:

Simplify the function fogoh .

  (fogoh)(x)=(fog)(h(x))=(fog)(x)=f(g(x))

Substitute x for x in g(x)=x5 .

  (fogoh)(x)=f(g(x))=f(x5)

Substitute x5 for x in f(x)=x4+1 .

  (fogoh)(x)=f(x5)=(x5)4+1

Therefore, the function fogoh for functions f(x)=x4+1 , g(x)=x5 and h(x)=x is equal to (x5)4+1 .

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!