## Algebra and Trigonometry 10th Edition

Published by Cengage Learning

# Chapter 4 - 4.1 - Rational Functions and Asymptotes - 4.1 Exercises - Page 315: 16

#### Answer

Vertical asymptote: $x=-\frac{3}{2}$ Horizontal asymptote: $y=-\frac{7}{2}$

#### Work Step by Step

For the vertical asymptote, the denominator must be equal to $0$: $3+2x=0$ $2x=-3$ $x=-\frac{3}{2}$ The degree of both the denominator and the numerator are equal to 1. The horizontal asymptote is the ratio between the leading coefficients: $y=-\frac{7}{2}$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.