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
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
$\left[ { - \frac{1}{2},\; - 1} \right]$
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