Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Section 9.1 - The Algebra of Functions; Composite Functions - Exercise Set - Page 540: 15

Answer

$f(g(x))=25x^2+1$ $g(f(x))=5x^2+5$

Work Step by Step

f of g(x) means $f(g(x))$ $g(x)$ is given as $5x$ So $f(g(x))=f(5x)=(5x)^2+1$ Therefore $f(g(x))=25x^2+1$ g of f(x) means $g(f(x))$ $f(x)$ is given as $x^2+1$ So $g(f(x))=g(x^2+1)=5(x^2+1)$ Therefore $g(f(x))=5x^2+5$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.