" If "f(x+(1)/(2))+f(x-(1)/(2))=f(x)" for all "x in R," find the period "f(x)

If (x+(1)/(2))+f(x-(1)/(2))=f(x) for all x in R, then the period of f(x) is

If f(x+(1)/(2))+f(x-(1)/(2))=f(x) for all x in R then the period of f(x) is 1(b)2(c)3(d)4

If f(x + 1/2) + f(x - 1/2) = f(x) for all x in R , then the period of f(x) is

If f(x+1/2)+f(x-1/2)=f(x) for all x in R , then the period of f(x) is 1 (b) 2 (c) 3 (d) 4

Let 'f' be a real valued function defined for all x in R such that for some fixed a gt 0, f(x+a)= 1/2 + sqrt(f(x)-(f(x))^(2)) for all 'x' then the period of f(x) is

Statement -1: Let f(x) be a function satisfying f(x-1)+f(x+1)=sqrt(2)f(x) for all x in R . Then f(x) is periodic with period 8. Statement-2: For every natural number n there exists a periodic functions with period n.

Statement -1: Let f(x) be a function satisfying f(x-1)+f(x+1)=sqrt(2)f(x) for all x in R . Then f(x) is periodic with period 8. Statement-2: For every natural number n there exists a periodic functions with period n.

Let f:R to R be a function given by f(x+y)=f(x)+2y^(2)+"kxy for all "x,y in R If f(1)=2 . Find the value of f(x)

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 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 ,