The domain of the function ${{\mathop{\rm cosec}\nolimits} ^{ - 1}}\left( {{{1 + x} \over x}} \right)$ is :
$\left( { - 1, - {1 \over 2}} \right] \cup (0,\infty )$
$\left[ { - {1 \over 2},0} \right) \cup [1,\infty )$
$\left( { - {1 \over 2},\infty } \right) - \{ 0\} $
$\left[ { - {1 \over 2},\infty } \right) - \{ 0\} $