Domain of the function \[f(x)={{\sin }^{-1}}(1+3x+2{{x}^{2}})\] is [Roorkee 2000]

\[\left( -\infty ,\ \frac{-1}{2} \right)\cup (2,\ \infty )\]

\[\left[ -\frac{3}{2},\ 0 \right]\]

Domain of the function \[f(x)={{\sin }^{-1}}(1+3x+2{{x}^{2}})\] is [

1.	Domain of the function \[f(x)={{\sin }^{-1}}(1+3x+2{{x}^{2}})\] is [Roorkee 2000]
A.	\[(-\infty ,\ \infty )\]
B.	\[(-1,\ 1)\]
C.	\[\left[ -\frac{3}{2},\ 0 \right]\]
D.	\[\left( -\infty ,\ \frac{-1}{2} \right)\cup (2,\ \infty )\]
Answer» D. \[\left( -\infty ,\ \frac{-1}{2} \right)\cup (2,\ \infty )\]

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Domain of the function \[f(x)={{\sin }^{-1}}(1+3x+2{{x}^{2}})\] is [Roorkee 2000]

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