College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 2 - Functions and Graphs - Exercise Set 2.6 - Page 298: 78

Answer

$g(x) = 5x^{2} + 3$ $f(x) = \sqrt x$

Work Step by Step

$h(x) = (f$ o $g)(x)$ $= \sqrt {5x^{2} + 3}$ $= (5x^{2} + 3)^{\frac{1}{2}}$ $= f(g(x))$ $= f(5x^{2} + 3)$ $= (5x^{2} + 3)^{\frac{1}{2}}$ $g(x) = 5x^{2} + 3$ $f(x) = \sqrt x$
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