College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.7 - Combining Functions - 2.7 Exercises: 60

Answer

$\displaystyle \frac{1}{x^{6}+6x^{4}+12x^{2}+8}$

Work Step by Step

We are given: $f(x)=\frac{1}{x},\ g(x)=x^3,\ h(x)=x^2+2$ We evaluate: $\displaystyle (f \circ g\circ h)=f(g(h(x)))=f(g(x^{2}+2))=f((x^{2}+2)^{3})=f(x^{6}+6x^{4}+12x^{2}+8)=\frac{1}{x^{6}+6x^{4}+12x^{2}+8}$
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