`f(x/y)=f(x) - f(y) AA x, y in R^+ and f(1) = 1`, then show that `f(x) = Inx`.

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

If f : R to R is defined as f (x+ y) = f (x) + f (y) AA x, y in R and f (1) = 7, then find sum _(r =1) ^(n) f (r).

lf f: R rarr R satisfies, f(x + y) = f(x) + f(y), AA x, y in R and f(1) = 4, then sum_(r=1)^n f(r) is

If f(x + y) = f(x) - f(y), forall x, y in R , then show that f(3) = f(1)

If (x+f(y))=f(x)+y AA x,y in R and f(0)=1 then find the value of f(7).

If f:R rarr R is continuous such that f(x+y)=f(x)*f(y)AA x,y in R and f(1)=2 then f(100)=