If `f(x+k)+f(x)=0` `AA x in R` , `k in R` and the period of f(x) is mk ,then m=

If f(x) is a real valued function such that f(x + 6) - f(x + 3) + f(x) = 0, AA x in R , then period of f(x) is

If f:R rarr R is a function such that f(5x)+f(5x+1)+f(5x+2)=0, AA x in R , 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:R rarr R is a function satisfying the property f(2x+3)+f(2x+7)=2AA x in R, then find the fundamental period of f(x)

Let f(x + y) = f(x) .f(y) AA x, y in R suppose that f(k) =3, k in R and f'(0) = 11 then find f'(k)

If f(x)>x;AA x in R. Then the equation f(f(x))-x=0, has

The function f(x) = |x| AA x in R is

Let f (x+y)=f (x) f(y) AA x, y in R , f (0)ne 0 If f (x) is continous at x =0, then f (x) is continuous at :