Question: Let f : R 2 R be a function such that f(x, y) + f(y, z) + f (z, x) = 0 for all real

Let f : R2R be a function such that

f(x, y) + f(y, z) + f (z, x) = 0

for all real numbers x, y, and z. Prove that there exists a function g: RR such that

f(x, y) = g(x) - g(y)

for all real numbers x and y

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