How do you find the asymptotes for $R (x) = \frac{3 x + 5}{x - 6}$ $R(x) = (3x + 5)/(x - 6)$ ?

Question

1270 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-02-19T14:08:45

It has vertical asymptote of $x = 6$ $x = 6$ .
It has horizontal asymptote of $y = 3$ $y = 3$ .

Rewrite it as

$R (x) = 3 + \frac{23}{x - 6}$ $R(x) = 3 + frac{23}{x-6}$

It has vertical asymptote of $x = 6$ $x = 6$ .
It has horizontal asymptote of $y = 3$ $y = 3$ .

graph{(3x+5)/(x-6) [-20, 35, -20, 20]}

How do you find the asymptotes for R(x) = (3x + 5)/(x - 6)R(x)=3x+5x−6R(x) = (3x + 5)/(x - 6)?