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: 44


$\text{all real numbers}$

Work Step by Step

$\bf{\text{Solution Outline:}}$ The domain of the given rational function, $ R(n)=\dfrac{3n+5}{9n^2+25} ,$ are the values of $ n $ which will NOT make the denominator equal to $0.$ $\bf{\text{Solution Details:}}$ The denominator, $9n^2+25,$ is always a positive number for any value of $ n $ since $n$ is squared. Hence, the domain is the set of $ \text{all real numbers} .$
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