Question

What is the domain of $\sqrt[3]{3x}\cdot \cot x$

Answer 1

$\sqrt[3]{3x}isfineforanyvalueofx\in Rforcotx=\left(\frac{cosx}{sinx}\right)\therefore sinx\ne 0\therefore x\ne n\pi wheren=integer\therefore domain:R-\left(n\pi \right)$