Intermediate Algebra (6th Edition)

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

Chapter 9 - Review: 6

Answer

$x^{2}-1$

Work Step by Step

We are given that $f(x)=x^{2}-2$, $g(x)=x+1$, and $h(x)=x^{3}-x^{2}$. We know that $(g\circ f)(x)=g(f(x))$. Therefore, $(g\circ f)(x)=g(f(x))=g(x^{2}-2)=(x^{2}-2)+1=x^{2}-1$
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