Chapter 3 - Polynomial and Rational Functions - 3.5 Rational Functions: Graphs, Applications, and Models - 3.5 Exercises - Page 375: 39

$V.A.$ $x=-\frac{1}{2}$, $H.A$ $y=-\frac{3}{2}$, $O.A.$ $none$.

Given $f(x)=\frac{4-3x}{2x+1}=\frac{-3x+4}{2x+1}$, we can identify the following: vertical asymptote $V.A.$ $x=-\frac{1}{2}$, horizontal asymptote $H.A$ $y=-\frac{3}{2}$, oblique asymptote $O.A.$ $none$.