If we add odd functions with the same domain, is the result odd or even

If we add odd functions with the same domain, is the result odd or even

Odd even uncertainty
For example, f (x) = x ^ 3, G (x) = - x ^ 3 are all odd functions, and the domain of definition is r
They are all odd functions, but f (x) + G (x) = 0 are even functions
F (x) = x g (x) = - x ^ 3 are all odd functions, and the domain of definition is r
F (x) + G (x) = x-x ^ 3 or odd function