Question

Find the domain of the following function: $\sqrt[3]{3\frac{2x+1}{x^2-10x-11}}$

Answer 1

For domain of the given function, denominator should not be equal to zero.

Therefore,

$x^2-10x-11\ne 0$

=> $(x+1)(x-11)\ne 0$

=> $x\ne -1$ and $x\ne 11$

Hence domain is,

$xϵR-${$-1,11$}