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Consider the following functions: f : R - Z g : Z - Z xZ f(x) = [x]+1 g(m) = (3m - 1, m + 1) Recall: [.1 : R - Z denotes the ceiling function, namely [x] = min {me Z : m >x}. Which three of the following statements are true? Select the three correct responses: A. f is surjective. B. f is injective. C. f is a bijection. D. g is surjective. E. g is injective. F. g is invertible. G. The domain of the composition go f is Z. H. The codomain of the composition go f is Z x Z. I. The composition go f is invertible