The domain of $y=sin^{-1}(1+3x+2x^2)$ is

Question

$\begin{array}{1 1}(-\infty,\infty) \\ (-\infty,-\frac{3}{2}]\cup [0,\infty) \\ [-\frac{3}{2},0] \\(-\infty,-\frac{1}{2}]\cup [2,\infty) \end{array}$