Precalculus (10th Edition)

by Sullivan, Michael

Published by Pearson

ISBN 10: 0-32197-907-9

ISBN 13: 978-0-32197-907-0

Chapter 5 - Exponential and Logarithmic Functions - 5.1 Composite Functions - 5.1 Assess Your Understanding - Page 254: 7

Answer

(a)

Work Step by Step

Using the known information $H(x)=f\circ g=f(g(x))=\sqrt {25-4x^2}$. Test each choice and we can find (a) is the answer because for (a), we have $f(g(x))=\sqrt {25-(4x)^2}=\sqrt {25-16x^2}\ne H(x)$.

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