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

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 1(b)2(c)3(d)4

Let f(x) be periodic and k be a positive real number such that f(x+k)+f(x)=0 for all x in R. Then the period of f(x) is

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

Let f(x) be periodic and k be a positive real number such that f(x + k) + f (x) = 0 for all x in R . Then the period of f(x) is

If f(x)=4x-x^2 for all x in R , then the value of f(a+1)-f(a-1) is:

Let f be a twice differentiable function defined on R such that f(0) = 1, f'(0) = 2 and f '(x) ne 0 for all x in R . If |[f(x)" "f'(x)], [f'(x)" "f''(x)]|= 0 , for all x in R , then the value of f(1) lies in the interval:

f:RrarrR,f(x)=x^(3)+x^(2)f'(1)+xf''(2)+f'''(3)" for all "x in R. The value of f(1) is