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: 31


$\text{all real numbers except }$ $ b=-11$

Work Step by Step

$\bf{\text{Solution Outline:}}$ The domain of the given rational function, $ m(b)=\dfrac{b+9}{b+11} ,$ are the values of $ b $ which will NOT make the denominator equal to $0.$ $\bf{\text{Solution Details:}}$ Solving for the values of $ b $ that will make the denominator equal to $0$ results to \begin{array}{l}\require{cancel} b+11=0 \\\\ b=-11 .\end{array} Hence, the domain is the set of $ \text{all real numbers except }$ $ b=-11 .$
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