Let the given graph is of y = f(x)Then $f\left(-\;\frac{\pi}{2}\right) = 0 = f\left(\;\frac{\pi}{2}\right)$Therefore, we need to choose an interval such that the function is one - one.One such interval is [0, π]$\Rightarrow$ The range of f(x) will be domain of $f^{-1}(x)$ and vice-versa.Also, the $f^{-1}(x)$ is image of f(x)About y = x line$f^{-1}(x)$ domain will be [-1, 1] and range will be [0, π], option (C) satisfy the criteria.