Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 2 - Nonlinear Functions - 2.1 Properties of Functions - 2.1 Exercises - Page 55: 50


$g\left(-\displaystyle \frac{5}{z}\right)=\displaystyle \frac{25+10z+5z^{2}}{z^{2}}$

Work Step by Step

$g\left(-\displaystyle \frac{5}{z}\right)$=... substitute x with $-\displaystyle \frac{5}{z}$ and simplify $=\left(-\displaystyle \frac{5}{z}\right)^{2}-2\left(-\displaystyle \frac{5}{z}\right)+5$ $=\displaystyle \frac{25}{z^{2}}+\frac{10}{z}+5\qquad$... common denominator: $z^{2}$ $=\displaystyle \frac{25+10z+5z^{2}}{z^{2}}$
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