f (x) = (x + 2) / (x ^ 2 - 3x - 4)
For this case, the first thing you should know is that the vertical asymptotes are those for which the function is not defined.
The function is not defined for those values that make the denominator equal to zero.
We have then:
x ^ 2 - 3x - 4 = 0
We look for the roots by factoring:
(x-4) * (x + 1) = 0
The roots are:
x1 = 4
x2 = -1
Answer:
The vertical asymptotes of the function are:
x = 4
x = -1
