Mathematics - Functions Question with Solution | TestHub

For a suitably chosen real constant$\mathrm{a}$, let a function,$\mathrm{f} : \mathbf{R}\mathbf{-}\left\{\mathbf{-}\mathbf{a}\right\}\mathbf{\to }\mathbf{R}$be defined by$\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{a}-\mathrm{x}}{\mathrm{a}+\mathrm{x}}$. Further supposed that for any real number$\mathrm{x}\ne -\mathrm{a},$and$f\left(x\right)\ne -a, \left(\mathrm{fof}\right)\left(\mathrm{x}\right)=\mathrm{x}$. Then$\mathrm{f}\left(-\frac{1}{2}\right)$is equal to :