# How do you find the vertical, horizontal and slant asymptotes of:  f(x)=(x + 2 )/ ( x + 3)?

May 4, 2018

Below

#### Explanation:

$f \left(x\right) = \frac{x + 2}{x + 3}$

$f \left(x\right) = \frac{\left(x + 3\right) - 1}{x + 3}$

$f \left(x\right) = 1 - \frac{1}{x + 3}$

therefore:

Vertical asymptote: $x = - 3$
Horizontal asymptote: $y = 1$

graph{(x+2)/(x+3) [-10, 10, -5, 5]}