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

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Answer 1 · 2016-01-26T01:40:34

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

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

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