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: 49


$g\left(\displaystyle \frac{3}{q}\right)= \displaystyle \frac{9-6q+5q^{2}}{q^{2}}$

Work Step by Step

$g\left(\displaystyle \frac{3}{q}\right)$=... substitute x with $\displaystyle \frac{3}{q}$ and simplify $=\left(\displaystyle \frac{3}{q}\right)^{2}-2\left(\displaystyle \frac{3}{q}\right)+5$ $=\displaystyle \frac{9}{q^{2}}-\frac{6}{q}+5\qquad$... common denominator: $q^{2}$ $= \displaystyle \frac{9-6q+5q^{2}}{q^{2}}$
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