Question: Problem 7 (10 points). Suppose that g : X Y and f : Y Z are functions. (a) Show that if both f and g


Problem 7 (10 points). Suppose that g : X Y and f : Y Z are functions. (a) Show that if both f and g are injective (one-to-one) functions, then f o g is also injective (b) Show that if both f and g are surjective (onto) functions, then f og is also surjective
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