At which value of x does the graph of the function F(x) have a vertical asymptote?

Answer:
x = -8 & x = 3
Step-by-step explanation:
Vertical asymptote occur when denominator is 0.
So to find the x-values, we need to middle term factor the denominator. Shown below:
[tex]x^2+5x-24\\=(x+8)(x-3)\\x=3, -8[/tex]
Thus, at x = 3 and at x = -8 -- there is vertical asymptote.