# How to find the asymptotes of R(x)=2/(x-3)?

Jan 26, 2016

Domain is $x \ne 3$,
Vertical Asymptote is $x = 3$
Horizontal Asymptote $y = 0$
Slant asymptote none.

#### Explanation:

To find the domain and vertical asymptote, the denominator is set to be equal to zero
Given R(x)=2/(x−3)
Set $x - 3 = 0$

Solving we obtain $x = 3$
This gives us the domain and vertical asypmtote.

Since degree of numerator is less than that of the denominator, hence x axis, i.e., $y = 0$ is horizontal asymptote.

No slant asymptote as degree of numerator is not exactly one more than that of the denominator