Answer:
x = 4, -1
Step-by-step explanation:
You first have to find the value of x where the denominator is equal to 0 because this is where the function will become undefined:
[tex]x^{2}[/tex] - 3x - 4 = 0
Now, to factor by grouping, find 2 numbers which add to -3 and multiply to -4:
1 and -4
Then, factor by grouping:
(x + 1)(x - 4) = 0
Next, solve for the values of x:
(x + 1) = 0
x = -1
(x - 4) = 0
x = 4
Finally, this means that the function has a vertical asymptote of x = 4 and x = -1
