If `f(x+y+1)={sqrt(f(x))+sqrt(f(y))}^2` and `f(0)=1AAx ,y in R ,determine f(n),n in Ndot`

If f((x+2y)/3)=(f(x)+2f(y))/3AAx ,y in Ra n df^(prime)(0)=1,f(0)=2, then find f(x)dot

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

If f(x) and g(x)=f(x)sqrt(1-2(f(x))^2) are strictly increasing AAx in R , then find the values of f(x)dot

If f(x+y)=f(x)+f(y)-x y-1AAx , y in Ra n df(1)=1, then the number of solution of f(n)=n , n in N , is 0 (b) 1 (c) 2 (d) more than 2

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

If f (x/y)= f(x)/f(y) , AA y, f (y)!=0 and f' (1) = 2 , find f(x) .

If f'(x) = sqrt(x) and f(1) = 2 then f(x) is :

Consider a real-valued function f(x) satisfying 2f(x y)=(f(x))^y+(f(y))^xAAx , y in Ra n df(1)=a ,w h e r ea!=1. Prove that (a-1) sum_(i=1)^nf(i)=a^(n+1)-a

(f(x y))^2=x(f(y))^2:f(2)=6 A function f: R+ ? R+ defined as Then f(100) =?