Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 1 - Limits and Their Properties - Review Exercises: 70

Answer

Vertical asymptote at $x=6$ and $x=-6.$

Work Step by Step

A function has vertical asymptotes at values that make the denominator only $0$. $h(x)=\dfrac{6x}{36-x^2}=\dfrac{6x}{(6-x)(6+x)}\to(6-x)(6+x)=0\to x=6$ or $x=-6.$
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