f((x+2y)/(3))=(f(x)+2f(y))/(3)AA x,y in R." If "f'(0)=1,f(0)=2," then "f(2)" is "

If f((x+2y)/(3))=(f(x)+2f(y))/(3)AA x,y in R and f'(0)=1,f(0)=2 then find f(x) .

If f ((x + 2y)/(3)) = (f (x) + 2f (y))/( 3) AA x, y in R and f '(0) = 1, f (0) = 2, then find f (x).

If f((x+2y)/3)=(f(x)+2f(y))/3\ AA\ x ,\ y in R and f^(prime)(0)=1 , f(0)=2 , then find f(x) .

Let f((x+y)/(2))=(f(x)+f(y))/(2),x,y in R, if f'(0)=-1, then f'((x)/(2))=

f((x+y)/(2))=(f(x)+f(y))/(2)AA x,y in R and f(0)=1 and f'(0)=-1 and function is differentiable for all x, then find f(x) .

Let f ((x + y )/( 2)) = (f (x) + f (y))/( 2) AA x,y,in R. If f (0) =1. f '(0) exists and equal -1, find f' (2) .

Let f(x+y)+f(x-y)=2f(x)f(y)AA x,y in R and f(0)=k, then

If f((xy)/(2)) = (f(x).f(y))/(2), x, y in R, f(1) = f'(1)."Then", (f(3))/(f'(3)) is.........