Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.6 - Rational Functions and Their Graphs - Exercise Set - Page 398: 6

Answer

Domain of\[f=\left\{ x|x\ne 8,x\ne -8 \right\}\]

Work Step by Step

Division by zero is undefined, so exclude from the domain each function value of x for which the denominator is zero. The denominator of $h\left( x \right)=\frac{x+8}{{{x}^{2}}-64}$ is 0 if $x=8$ and $x=-8$. Thus, x is not equal to 8 and -8. Domain of $f=\left\{ x|x\ne 8,x\ne -8 \right\}$.
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