Let `f:R->R` be a function such that `f((x+y)/3)=(f(x)+f(y))/3 ,f(0) = 0 and f'(0)=3` ,then

Let f:R->R be a function such that f(x+y)=f(x)+f(y),AA x, y in R.

Let f:R->R be a function such that f(x+y)=f(x)+f(y),AA x, y in R.

Let f be a function such that f(x+f(y))=f(f(x))+f(y) forall x, y in R and f(h)=h for 0 where epsilon >0 , then determine f'(x) and f(x).

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

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

Let f:R to R be a function such that f(x+y)=f(x)+f(y)"for all", x,y in R If f(x) is differentiable at x=0. then, which one of the following is incorrect?

Let f : R to R be a function such that f(x+y) = f(x)+f(y),Aax, y in R. If f (x) is differentiable at x = 0, then

Let f:R-{0}rarr R be a function satisfying f((x)/(y))=(f(x))/(f(y)) for all x,y,f(y)!=0 .If f'(1)=2024 ,then