Question 451874
Considering only the highest powers for the numerator and denominator, the function is reduced to {{{(3x)/x = 3}}}.  Letting x approach  {{{infinity}}}, f(x) then approaches 3, and hence the horizontal asymptote is y = 3.

The vertical asymptote is where x  + 4 = 0, or x = -4, which is the equation of the vertical asymptote itself.