If `f(x+y+1)={sqrt(f(x))+sqrt(f(y))}^2` and `f(0)=1AAx ,y in R ,d e t e r m in ef(n),n in Ndot`

If (x+y)=f(x)+f(y)-xy-1AA x,y in R and f(1)=1f(x+y)=f(x)+f(y)-xy-1AA x,y in R and f(1)=1 then the number of solution of f(n)=n,n in N, is 0(b)1 (c) 2 (d) more than 2

Consider E=(8sqrt(x)+5sqrt(y))^(y)=1+f,0<=f<1

If f((x)/(y))=(f(x))/(f(y)) for all x,y in R,y!=0 and f(t)!=0, if t!=0 and f'(1)=3 then f(x) is

If f(x+y)=f(x)+f(y),AAx ,\ y in R then prove that f(k x)=kf(x)for\ AAk ,\ x in Rdot

abs(f(x)-f(y))le(x-y)^2 forall x,y in R and f(0)=1 then

If f(x+y)=f(x)+f(y) -xy -1 for all x, y in R and f(1)=1 then f(n)=n, n in N is true if

If f(x+y)=f(x)*f(y) and f(1)=4. Find sum_(r=1)^(n)f(r)

Let f be a polynominal such that f(x) f(y) + 2 = f(x) + f(y) + f(xy) AA xx, y in R (0) and f(x) is one one AA xx in R with f(0) = 1 and f (1) = 2 The function y = f(x) is given by