The domain of the function cosec ^ - 1 ((1 + x)/(x)) is :

$\dfrac{1 + x}{x} \le - 1$ or $\dfrac{1 + x}{x} \ge 1$

$\dfrac{1 + x + x}{x} \le 0$ or $\dfrac{1 + x - x}{x} \ge 0$

$\dfrac{2x + 1}{x} \le 0$ or $\dfrac{1}{x} \ge 0$

$x \in$\left[\dfrac{- 1}{2}, 0\right)$or$x \in ( 0, \infty )$</p><p>$x \in \left[- \dfrac{1}{2}, \infty\right) - { 0 }