Let `f(x, y)` be a periodic function, satisfying the condition `f(x, y) = f(2x+2y, 2y-2x) AA x , y in R` and let `g(x)` be a function defined as `g(x)=f(2^(x), 0)` Prove that `g(x)` is a periodic function and find its period

Options

A. 12
B. 10
C. 8
D. 6

Answer

A