If f (x + 1) and f (x-1) are both odd functions, and f (0) = 2, then what is f (4)

If f (x + 1) and f (x-1) are both odd functions, and f (0) = 2, then what is f (4)

F (x + 1) = - f (- x + 1), f (x-1) = - f (- x-1), the first formula is x = 3, the second formula is x = - 1, then
F (4) = - f (- 2), f (- 2) = - f (0), so f (4) = f (0) = 2