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: 35

Answer

$f(x)=\dfrac{1}{x}$ and $g(x)=2x-3$

Work Step by Step

$h(x)=\dfrac{1}{2x-3}$ For $h(x)$ to be $(f\circ g)(x)$, $f(x)$ must be $\dfrac{1}{x}$ and $g(x)$ must be $2x-3$. This can be verified by substituting $x$ by $g(x)$ in $f(x)$ and checking if it matches the original function $h(x)$
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