If g is a differentiable function such that g(x) < 0 for all real numbers x, and if ƒ’(x) = (x² - 9)g(x), which of the following is true?
A) ƒ has a relative maximum at x = - 3 and a relative minimum at x = 3.
B) ƒ has a relative minimum at x = - 3 and a relative maximum at x = 3.
C) ƒ has relative minima at x = - 3 and x = 3.
D) ƒ has relative maxima at x = - 3 and at x = 3.
E) It cannot be determined if ƒ has any relative extrema.