Question 4. (5 pts. each) Let f: A B and g: B - C be functions. Their composition g of is the function gof: A - C given
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Question 4. (5 pts. each) Let f: A B and g: B - C be functions. Their composition g of is the function gof: A - C given
Question 4. (5 pts. each) Let f: A B and g: B - C be functions. Their composition g of is the function gof: A - C given by the formula (g(x) = g(f()). A. Prove that if f and g are injective, then so is gof. B. Prove that if f and g are surjective, then so is g•f.
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