Question 20
Let $f:\mathbb Q\setminus\{0,1\}\to\mathbb Q$ satisfy
$$x^2f(x)+f\left(\frac{x-1}{x}\right)=2x^2$$
for every rational $x\ne0,1$. Here $\mathbb Q$ is the set of rational numbers. Find $f(1/2)$.
$$x^2f(x)+f\left(\frac{x-1}{x}\right)=2x^2$$
for every rational $x\ne0,1$. Here $\mathbb Q$ is the set of rational numbers. Find $f(1/2)$.