Let `f` be a function satisfying `f(x+y)+sqrt(6-f(y))=f(x)f(y)a n df(h)vec6a shvec0.` Discuss the continuity of `fdot`

If f(x)={x-2,x 0 then discuss the continuity of y=f(f(x))

Let f be a function satisfying f(x+y)=f(x)+f(y) for all x,y in R. If f(1)=k then f(n),n in N is equal to

A function y=f(x) satisfying f'(x)=x^(-(3)/(2)),f'(4)=2 and f(0)=0 is

Let f be a continuous function satisfying f(x + y) = f (x) f( y) (x, y in R) with f(1) = e then the value of int(xf(x))/(sqrt(1+f(x)))dx is

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

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,

Let f be a differentiable function satisfying f(x)+f(y)+f(z)+f(x)f(y)f(z)=14" for all "x,y,z inR Then,