Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 7 - Rational Functions - 7.1 Rational Functions and Variation - 7.1 Exercises - Page 566: 51

Answer

a) Domain: All real numbers, except $x= -5, x= 7$ b) $f(0) = 0$ c) $x= -4.5$ and $x= 7.5$

Work Step by Step

a) The function in the plot is undefined for $x=-5$ and $x= 7$. Hence, the domain is: \begin{equation} \begin{aligned} \text{Domain: All real numbers, except}&\ \ x= -5,\quad x= 7 \\ \end{aligned} \end{equation} b) We see that $f(0) = 0$. c) The graph shows that $f(x)=6$ when $x= -4.5$ and when $x= 7.5$.
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