f(x)= $ 1/2-tan(πx/2)-1<x<1 $ and g(x) = ${ \sqrt{(3+4x-4x^2)}}$ Find domain of (f+g)

Question

f(x)= $ 1/2-tan(πx/2)-1<x<1 $ and g(x) = ${ \sqrt{(3+4x-4x^2)}}$

Find domain of (f+g)

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

$\left[-\frac{1}{2}, \frac{3}{2}\right]$

$\left(-1, 1\right)$

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

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