# How do you find vertical, horizontal and oblique asymptotes for f(x) = (3x+5)/(x-6)?

Dec 29, 2016

vertical asymptote at x = 6

#### Explanation:

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non-zero for this value then it is a vertical asymptote.

solve : $x - 6 = 0 \Rightarrow x = 6 \text{ is the asymptote}$