# For what values of x, if any, does f(x) = 1/((2x-2)(5x-4)  have vertical asymptotes?

$x = 1$ or $x = \frac{4}{5}$
here that occurs when $2 x - 2 = 0$ and $5 x - 4 = 0$ ie when $x = 1$ or $x = \frac{4}{5}$