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Given functions $f(x) = \frac{1}{\sqrt{x}}$ and $g(x) = x^2 - 4$, state the domains of the following
functions using interval notation.
Domain of $\frac{f(x)}{g(x)}$: $(0,2) \cup (2,\infty)$
Domain of $f(g(x))$: $(-\infty,-2) \cup (2,\infty)$
Domain of $g(f(x))$: $(-\infty,0) \cup (0,\infty)$