Mathematics - Functions Question with Solution | TestHub

A real valued function $\mathrm{f}(\mathrm{x})$ satisfies the functional equation$f(x-y)=f(x)\cdot f(y)-f(a-x)f(a+y)$ for some given constant a and $\mathrm{f}(0)=1$ then $\mathrm{f}(2\mathrm{a}-\mathrm{x})=$