Question

For what values of x, if any, does `f(x) = 1/((x-4)(x+6))` have vertical asymptotes?

Answer 1

x = 4 and x = `-`6..

Explanation:

f becomes infinity when x `-` 4 = 0 or x + 6 = 0.
The graph is symmetrical about x = `-`1.
f = 0, when x = `+-` infinity. f = 0 is also an asymptote to the curve.