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`

Determine the function satisfying f^2(x+y)=f^2(x)+f^2(y)AAx ,y in Rdot

If f(x) is a polynomial function satisfying f(x)dotf(1/x)=f(x)+f(1/x) and f(4)=65 ,t h e nfin df(6)dot

If f is polynomial function satisfying 2+f(x)f(y)=f(x)+f(y)+f(x y)AAx , y in R and if f(2)=5, then find the value of f(f(2))dot

If f is polynomial function satisfying 2+f(x)f(y)=f(x)+f(y)+f(x y)AAx , y in R and if f(2)=5, then find the value of f(f(2))dot

Let f be a real-valued function satisfying f(x)+f(x+4)=f(x+2)+f(x+6) Prove that int_x^(x+8)f(t)dt is constant function.

Suppose f is a real function satisfying f(x+f(x))=4f(x)a n df(1)=4. Then the value of f(21) is 16 21 64 105

Let f be a function satisfying of xdot Then f(x y)=(f(x))/y for all positive real numbers xa n dydot If f(30)=20 , then find the value of f(40)dot

If a function satisfies (x-y)f(x+y)-(x+y)f(x-y)=2(x^2 y-y^3) AA x, y in R and f(1)=2 , then

If f(x+f(y))=f(x)+yAAx ,y in Ra n df(0)=1, then find the value of f(7)dot

Let f: R rarr R be a polynomial function satisfying f(f(x) -2 y)=2 x-3 y+f(f(y)-x), forall x, y in R then the value of f(20)-f(14) is equal to