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

Let f(x, y) be a periodic function satisfying `f(x, y) = f(2x + 2y, 2y-2x)` for all x, y; Define `g(x) = f(2^x,0)`. Show that g(x) is a periodic function with period 12.

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g(x) is periodic with period 12
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