Let f be a real vlaued fuction with domain R such that `f(x+1)+f(x-1)=sqrt(2)f(x)` for all ` x 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,

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(x) be a real valued function such that f(0)=1/2 and f(x+y)=f(x)f(a-y)+f(y)f(a-x), forall x,y in R , then for some real a,

Let f(x) be a real valued function such that f(0)=1/2 and f(x+y)=f(x)f(a-y)+f(y)f(a-x), forall x,y in R , then for some real a,

Let f(x) be a real valued function with domain R such that f(x+p)= 1 +[2-3f(x)+3(f(x))^(2)-(f(x))^(3)]^(1//3) holds good AA x in R and for some +ve constant 'p' then the period of f(x) is

Let f(x) be a real valued periodic function with domain R such that f(x+p)=1+[2-3f(x)+3(f(x))^(2)-(f(x))^(3)]^(1//3) hold good for all x in R and some positive constant p, then the periodic of f(x) is

Let f(x) be a real valued periodic function with domain R such that f(x+p)=1+[2-3f(x)+3(f(x))^(2)-(f(x))^(3)]^(1//3) hold good for all x in R and some positive constant p, then the periodic of f(x) is

Let f(x) be a real valued periodic function with domain R such that f(x+p)=1+[2-3f(x)+3(f(x))^(2)-(f(x))^(3)]^(1//3) hold good for all x in R and some positive constant p, then the periodic of f(x) is

Let f(x) be a real valued periodic function with domain R such that f(x+p)=1+[2-3f(x)+3(f(x))^(2)-(f(x))^(3)]^(1//3) hold good for all x in R and some positive constant p, then the periodic of f(x) is

Let f be a real valued function satisfying f(x+y)=f(x)f(y) for all x, y in R such that f(1)=2 . Then , sum_(k=1)^(n) f(k)=