The problem is known 2F (x) + F (1 / x) = 2x, find the analytic expression of F (x)

Because 2F (x) + F (1 / x) = 2x
Exchange X and 1 / X in the original formula
We get 2F (1 / x) + F (x) = 2 / X
So we get the equations of F (x)
2f(x)+f(1/x)=2x
2f(1/x)+f(x)=2/x
The solution is f (x) = 4x / 3 - 2 / 3x

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