Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 6 - Section 6.1 - Rational Functions and Multiplying and Dividing Rational Expressions - Exercise Set - Page 346: 74

Answer

$s(-1)=0$ $s(1)=1$ $s(2)=\dfrac{9}{5}$

Work Step by Step

To find $s(-1), s(1), \text{ and } s(2)$, substitute -1, 1, and 2, respectively, to $x$ to have: $s(-1)=\dfrac{(-1)^3+1}{(-1)^2+1}=\dfrac{-1+1}{1+1}=\dfrac{0}{2}=0 \\ \\s(1)=\dfrac{1^3+1}{1^2+1}=\dfrac{1+1}{1+1}=\dfrac{2}{2}=1 \\ \\s(2)=\dfrac{2^3+1}{2^2+1}=\dfrac{8+1}{4+1}=\dfrac{9}{5}$
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