Question
Find the domain of $\text{f(x)}=\cot\text{x}+\cot^{-1}\text{x}$

Answer

Domain of $\cot\text{x}$ is $(0,\pi)$
Domain of $\cot^{-1}\text{x}$ is R.
So domain of $\cot\text{x}+\cot^{-1}\text{x}$ is R.

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