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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