If `f((x+y)/3)=(2+f(x)+f(y))/3` for all `x,y` `f'(2)=2` then find `f(x)`

If f((x+y)/(3))=(2+f(x)+f(y))/(3) for all x,yf'(2)=2 then find f(x)

If f(x+y)=2f(x) f(y) for all x,y where f'(0)=3 and f(4)=2, then f'(4) is equal to

If f(x+y)=f(x).f(y) for all real x,y and f(0)!=0, then the function g(x)=(f(x))/(1+{f(x)}^(2)) is:

If f(2(x)/(y))=f(2x)-f(y) for all x,y>0 and f(3)=2, then the value of [f(7)], is

f(x+y)=f(x)*f(y) for all x,y anf f(5)=2,f'(0)=3 then f(5) will be

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) .

Let f:R rarr R be a function satisfying condition f(x+y^(3))=f(x)+[f(y)]^(3) for all x,y in R If f'(0)>=0, find f(10)

Let f be a non-zero continuous function satisfying f(x+y)=f(x)f(y) for all , x,y in R . If f(2)=9 then f(3) is