Question

Find the value(s) of X for which the function has a vertical asymptote. The function is F(x)=12/(x+8)(x-3)

Answer 1

X = -8, x = 3

Vertical asymptotes are vertical lines which does not cut the y-axis. This means that it has to be lines whose equations do not have a definable y value.

Vertical asymptotes also have an undefined (infinite) gradient, hence it has to be points in which the values of y are infinite / undefined, and the only way for that is to have the denominator of that y fraction as 0 (anything divided by 0 is undefined).

If you'd equate (x+8)(x-3) = 0,
x = -8, x = 3