question_answer

If function \[f(x)=\frac{1}{2}-\tan \left( \frac{\pi x}{2} \right)\]; \[(-1<x<1)\] and \[g(x)=\sqrt{3+4x-4{{x}^{2}}}\], then the domain of gof is [IIT 1990]

A) \[(-1,\ 1)\]

B) \[\left[ -\frac{1}{2},\ \frac{1}{2} \right]\]

C) \[\left[ -1,\ \frac{1}{2} \right]\]

D) \[\left[ -\frac{1}{2},\ -1 \right]\]