Determine the equations of the vertical and horizontal asymptotes, if any, for f (x) = x^2/x+6

vertical asymptote: x = - 6; horizontal asymptote: none

Step-by-step explanation:

Vertical asymptote depends on the denominator of your equation, in this case, x+6. When you solve x+6=0, you get x = - 6 and that's your vertical asymptote. The horizontal asymptote depends on the degree. Since the degree of the numerator is 2 and the denominator is 1, there is no horizontal asymptote.