Question

Solve this:
Find domain of
f(x) = cot x + cot^-1 x

Answer 1

$$\begin{gathered} f\left(x\right)=cotx+co{t}^{-1}x \\ Domainofcotxis\mathrm{ℝ}butdomainofco{t}^{-1}xisx\in \left[0,\pi \right] \\ therefore,domainoff\left(x\right)willbetheirintersection \\ Domainoff\left(x\right)=\left[0,\pi \right] \end{gathered}$$