F (x) + F [(x-1) / x] = 2x, X is not equal to 0,1. Find f (x)

We know that (1) f (x) + F (1-1 / x) = 2x. Next, we use 1-1 / X instead of X to write formula (1). We know that (2) f (1-1 / x) + F (1 / (1-x)) = 2 (1-1 / X). Then, we use 1 / (1-x) instead of X to write formula (1). We have (3) f (1 / (1-x)) + F (x) = 2 (1 / (1-x)). Through observation, we know that (1

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