Identify the vertical asymptotes of f (x) = 10 over quantity x squared minus 7x minus 30.

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.