How do you find the Vertical, Horizontal, and Oblique Asymptote for #R(x)=(3x+5) \ (x-6)#?
The given function is a polynomial and polynomials do not have asymptotes.
Was the question intended to be for the function
The quotient is already reduced. (There are no common factors onf the numerator and the denominator).
So we can find vertical asymptotes by solving
The equation of the vertical asymptote is
For values of
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.