For the given function, find the vertical and horizontal asymptote(s) (if there are any). f(x) = the quantity x squared plus four x minus three divided by the quantity x minus six

vertical asymptote: x=6

Horizontal asymptote: doesn't exist.

Step-by-step explanation:

Given function is

To find vertical asymptote, we just set denominator =0 and solve that for x

Given denominator is x-6

then x-6=0

or x=6

Hence vertical asymptote: x=6

-----

We see that degree of numerator = 2

degree of denominator = 1

When degree of numerator is not equal to degree of denominator then horizontal asymptote doesn't exist.

Horizontal asymptote: doesn't exist.