Algebra: A Combined Approach (4th Edition)

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

Chapter 12 - Review - Page 904: 10

Answer

$(h \circ h)(2)=48$

Work Step by Step

Functions involved: $h(x)=x^3-x^2$ Substitute $h(x)$ into $h(x)$: $(h \circ h)(x)=(x^3-x^2)^3-(x^3-x^2)^2$ Substitute $2$ into $(h \circ h)(x)$: $(h \circ h)(2)=((2)^3-(2)^2)^3-((2)^3-(2)^2)^2$ $(h \circ h)(2)=(8-4)^3-(8-4)^2$ $(h \circ h)(2)=4^3-4^2$ $(h \circ h)(2)=64-16 =48$
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