# Domainomania

Geometry Level 4

$\large f(x)=\sqrt {\log_x \cos(2\pi x)}$

If the domain of $$f(x)$$ can be represented as $$\left(a,\dfrac {y}{z} \right)\cup \left (\dfrac{b}{c},d \right )\cup\{e,f,g, \ldots\}$$, where $$y$$ and $$z$$, and $$b$$ and $$c$$ are coprime integers, find the value of $$a+y+z+b+c+d$$.

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