The domain of the function $f(x) = \frac{1}{\sqrt{x} - [x] - 6}$ where $[x]$ is the greatest integer $\leq x$, is:

Question

$(-\infty, -2) \cup [4, \infty)$

$(-\infty, -2) \cup [3, \infty)$

$(-\infty, -2] \cup [4, \infty)$

$(-\infty, -2] \cup (3, \infty)$

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