# How do you find the Vertical, Horizontal, and Oblique Asymptote for #R(x)=(3x+5) \ (x-6)#?

##### 2 Answers

This function has no asymptotes.

#### Explanation:

The given function is a polynomial and polynomials do not have asymptotes.

Was the question intended to be for the function

#### Explanation:

The quotient is already reduced. (There are no common factors onf the numerator and the denominator).

So we can find vertical asymptotes by solving

denominator =

The equation of the vertical asymptote is

For values of

For

The line

The graph of a rational function cannot have both horizontal and obliques asymptotes. The graph of this function does have horizontal asymptotes, so it cannot have oblique asymptotes.