# Inverse Domain

Geometry Level 4

$$\text{Domain of the function}$$ $$f(x)$$,

$\large f(x) = \dfrac{1}{\sqrt{\ln(\cot^{-1}x)}}$

Note: The range of $$\cot^{-1} x$$ is $$\left( - \dfrac{\pi}{2} , \dfrac{\pi}{2} \right]$$.

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