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The largest interval lying in (-pi/2,pi/...

The largest interval lying in `(-pi/2,pi/2)` for which the function `[f(x)=4^-x^2+cos^(-1)(x/2-1)+log(cosx)]` is defined, is (1) `[0,pi]` (2) `(-pi/2,pi/2)` (3) `[-pi/4,pi/2)` (4) `[0,pi/2)`

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To determine the largest interval lying in \((- \frac{\pi}{2}, \frac{\pi}{2})\) for which the function \[ f(x) = 4^{-x^2} + \cos^{-1}\left(\frac{x}{2} - 1\right) + \log(\cos x) \] is defined, we need to analyze each component of the function. ...
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