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Let f(x, y) be a periodic function satis...

Let f(x, y) be a periodic function satisfying the condition f(x, y) = f(2x + 2y), (2y - 2x) `AA x, y in R`. Now define a function g by `g(x) = f(2^x, 0)`. Then prove that g(x) is periodic function, find its period.

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