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:
$y=-\frac{7}{2}$
