F is a function defined as `sum_(k=1)^(n)f(a+k)`=`16(2^(n)-1)and f(x+y )`=f(x).f(y) and f(1)=2 then integral value of a

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

A function f(x) is defined as f(x)=x^2+3 . Find f(0), F(1), f(x^2), f(x+1) and f(f(1)) .

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(x+y)+f(x-y)=2f(x)f(y) AA x,y in R and f(0)=k , then

A function f is defined such that f(1)=2, f(2)=5, and f(n)=f(n-1)-f(n-2) for all integer values of n greater than 2. What is the value of f(4)?

The value of integral sum _(k=1)^(n) int _(0)^(1) f(k - 1+x) dx is

If f : R-{-1}->R and f is differentiable function satisfies f(x+f(y) +x f(y)) = y+f(x)+y.f(x) forall x,y in R-{-1} then find the value of 2010 [ 1 +f(2009)]

If f is a function satisfying f(x+y)=f(x)f(y) for all x ,y in X such that f(1)=3 and sum_(x=1)^nf(x)=120 , find the value of n.

If f (x) is a function such that f(x+y)=f(x)+f(y) and f(1)=7" then "underset(r=1)overset(n)sum f(r) is equal to :