If `f(x + f(y)) = f(x)+ y` for all `x, y in R` and `f(1) = 1`, then find the value of f(10)/5, f(x) is not constant function.

If f(x+y)=f(x) xx f(y) for all x,y in R and f(5)=2, f'(0)=3, then f'(5)=

If 2f(xy) =(f(x))^(y) + (f(y))^(x) for all x, y in R and f(1) =3 , then the value of sum_(t=1)^(10) f(r) is equal to

If 2f(xy) =(f(x))^(y) + (f(y))^(x) for all x, y in R and f(1) =3 , then the value of sum_(t=1)^(10) f(r) is equal to

If f(x) satisfies the relation f(x+ y) = f ( x) + f( y ) for all x, y in R and f(1) = 5 then

If f is real valued function such that f(x+y) = f(x) + f(y) and f(1) = 5 , then find the value of f(100)

f is a function such that f(x + y) = f(x) .f(y), forall x, y in R , if f(1) = 3, then find sum_(r = 1)^n f(r) .

If f(x)+f(y)+f(xy)=2+f(x)f(y) for all x, y in R and f(x) is a polynomial function with f(4)=65 then find the value of (f(5))/(7) is (where f(1) ne 1) .

If (x).f(y)=f(x)+f(y)+f(xy)-2AA x,y in R and if f(x) is not a constant function,the value of f(1) is equal to

If 'f is a function such that f (x + y) =f (x) f (y) for all x,y in R and f ^(1) (0) exists, show that f ^(1) (x) = f(x) f ^(1)(0) for all x, y in R.

if f: 9R to 9R satisfies f(x+y)=f(x)+f(y) , for all x, y , in 9 R and f(1)=10 then sum_(r=1)^(n) f(r)