# How do you find vertical, horizontal and oblique asymptotes for (3x + 2)/( x - 2)?

Oct 15, 2016

#### Answer:

vertical asymptote is x=2
horizontal asymptote is y=3

#### Explanation:

$\frac{3 x + 2}{x - 2} = 3 + \frac{8}{x - 2}$
Domain is for $x \ne 2$, so x=2 is a vertical asymptote
$L i m \frac{3 x + 2}{x - 2} = 3$ as x tends to infinity,$\infty$, so y=3 is a horizontal asymptote