Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Review - Page 904: 7

Answer

$(h\circ g)(2)=18$

Work Step by Step

Functions involved: $h(x)=x^3-x^2$ $g(x)=x+1$ Substitute $g(x)$ into $h(x)$: $(h\circ g)(x)=(x+1)^3-(x+1)^2$ Substitute 2 into $(h\circ g)(x)$: $(h\circ g)(2)=(2+1)^3-(2+1)^2$ $(h\circ g)(2)=3^3-3^2 = 27-9 = 18$
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