For what values of x, if any, does f(x) = tan((7pi)/12-x)  have vertical asymptotes?

$f \left(x\right)$ has vertical asymptotes wherever $\left(\frac{7 \pi}{12} - x\right)$ hits the jackpot values of $\frac{\pi}{2} + n \pi$ (where $n = - \infty \ldots + \infty$)