College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 3, Polynomial and Rational Functions - Section 3.6 - Rational Functions - 3.6 Exercises - Page 345: 41

Answer

vertical asymptote: $x=1$

Work Step by Step

Vertical asymptotes occur where the denominator is zero. Thus, we set the denominator to zero and solve for the $x$ values to find the vertical asymptotes: $x-1=0\\x=1$ Hence, the vertical asymptote is $x=1$. Here, the degree of the numerator is larger than that of the denominator. Thus, there is no horizontal asymptote.
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