For x > 0, let f (x) = x2/3 (6 - x)1/3 and g(x) = x.In x which of the following is/are true?
(A) Exactly 1 real solution exist for the equation f (x) = g (x)
(B) f (x) ≥ g(x),∀x ∈ [1,4]
(C) For y = f(x) , (6 ,0) is a point of the inflexion
(D) For x ∈(0, 4) the equation f (x) = f-1(x) has only one real solution