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.

Similar Questions

Explore conceptually related problems

f(x) is a real valued function, satisfying f(x+y)+f(x-y)=2f(x).f(y) for all yinR , Then

Let f be a real valued function, satisfying f (x+y) =f (x) f (y) for all a,y in R Such that, f (1_ =a. Then , f (x) =

Let f(x) be a function satisfying f(x+y)=f(x)+f(y) and f(x)=x g(x)"For all "x,y in R , where g(x) is continuous. Then,

If a real valued function f(x) satisfies the equation f(x+y)=f(x)+f(y) for all x,y in R then f(x) is

Determine the function satisfying f^(2)(x+y)=f^(2)(x)+f^(2)(y)AA x,y in R

If f is a function of real variable x satisfying f(x+4)-f(x+2)+f(x)=0 , then f is periodic function with period: