The largest interval lying in $(-\frac{π}{2},\frac{π}{2})$ for which the function $[f(x)=4^{-x^2}+\cos^{-1}(\frac{x}{2}-1)+\log(\cos x)]$ is defined, is:

$[0, π]$ $(-\frac{π}{2},\frac{π}{2})$ $[-\frac{π}{2},\frac{π}{2})$ $[0,\frac{π}{2})$

$[0,\frac{π}{2})$

$-1≤\frac{x}{2}-1≤1$ and $\cos x > 0$ $0 ≤ x ≤ 4$ and $0 ≤ x ≤ \frac{π}{2}$ $x∈[0,4],x∈[0,\frac{π}{2})$ $=x∈[0,\frac{π}{2})$