# No Problemmo #2

Algebra Level 5

Let $$f(x,y)$$ be a periodic function satisfying $$f(x,y) = f( 2x+2y , 2y-2x )$$ for all $$x,y$$ belonging to the set of real numbers.

Let $$g(x) = f(2^x , 0)$$. Then find the fundamental period of $$g(x)$$.

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