Given 2F (1 / x) + F (x) = x (x is not equal to 0), find f (x)

Given 2F (1 / x) + F (x) = x (x is not equal to 0), find f (x)

2f(1/x)+f(x)=x (1)
Let x = 1 / X
2f(x)+f(1/x)=1/x (2)
(2)*2-(1)
3f(x)=2/x-x=(2-x²)/x
therefore
f(x)=(2-x²)/(3x)