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: 21

Answer

$f(g(x))=|10x-3|$ $g(f(x))=10|x|-3$

Work Step by Step

f of g(x) means $f(g(x))$ $g(x)$ is given as $10x-3$ Therefore $f(g(x))=|10x-3|$ g of f(x) means $g(f(x))$ $f(x)$ is given as $|x|$, which is the absolute value of $x$. Therefore $g(f(x))=10|x|-3$
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