What are the vertical asymptotes of f(x) = 10/ x^2 - 1

Vertical asymptotes ares found where the function is undefined.  f(x) is undefined when the denominator equals zero:

x^2-1=0

*Add 1 to both sides*

x^2=1

*Take the square root of both sides*

x=+/-1

There are vertical asymptotes at x=-1 and x=1.

Hope this helps!!