If $\mathrm{f}(\mathrm{x})$ satisfies the functional equation $x^2 f(x)+f(1-x)=2 x-x^4$, then $f\lef

Question

If $\mathrm{f}(\mathrm{x})$ satisfies the functional equation $x^2 f(x)+f(1-x)=2 x-x^4$, then $f\left(\frac{1}{3}\right)=$

Professor PC Thomas Classes · Answer

Change $x$ to $1-x$ and eliminate $f(1-x)$