Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 3 - Polynomial and Rational Functions - Section 3.4 Properties of Rational Functions - 3.4 Assess Your Understanding - Page 241: 51

Answer

O.A. $y=2x-1$

Work Step by Step

Given $y=\frac{6x^2+7x-5}{3x+5}=\frac{(3x+5)(2x-1)}{3x+5}=2x-1, x\ne-\frac{5}{3}$, we can find its vertical asymptote(s) V.A. $none$, horizontal asymptote(s) H.A. $none$, oblique asymptote(s) O.A. $y=2x-1$ (the graph of the function is actually identical to this line except for a hole).
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