If a function `f: R ->R` be such that `f(x-f(y)) = f(f(y) )+xf(y)+f(x) -1 AA x , y in R` then `f(2)=`

If f : R to R such that f(x- f(y)) = f( f(y) ) + x f (y) +f(x) - 1 AA , y in R then f(x) is

Determine all functions f: R->R such that f(x-f(y))=f(f(y))+xf(y)+f(x)-1 AAx , ygeq0 in Rdot

Determine all functions f: R->R such that f(x-f(y))=f(f(y))+xf(y)+f(x)-1 AAx , ygeq0 in Rdot

Determine all functions f:R rarr R such that f(x-f(y))=f(f(y))+xf(y)+f(x)-1quad AA x,y>=0in R

Determine all functions f : R rarr R satisfying f(x-f(y)) = f(f(y)) + xf(y) + f(x) - 1 AA x, y in R

Let a function f:R rarr R be such that f(1)=2 , f'(0) = ln2 and f(x+y)=2^(x)f(y)+4^(y)f(x),AA x,y in R . If f'(2)=k ln2 ,then number of divisors of k ,is

Let f:R->R be a function such that f(x+y)=f(x)+f(y),AA x, y in R.

Let f:R->R be a function such that f(x+y)=f(x)+f(y),AA x, y in R.

Let f:R to R such that f(x+y)+f(x-y)=2f(x)f(y) for all x,y in R . Then,

Let f:R to R such that f(x+y)+f(x-y)=2f(x)f(y) for all x,y in R . Then,