Vertical asymptotes are defined as the straight line of the given equation towards the given function f (x). In this problem, we are given with:
f(x) = 10 / x² - 7x - 30
Set the function to zero:
0 = 10 / x² - 7x -30
(x² - 7x - 30) =0
Perform factoring:
(x -10) (x+3) = 0
x =10 and x = -3
The answer is 10 and -3.