Question: Question 3. Functions (8 marks) (a) Let A = {x ER : x # 1} and define the function f : A - R by

Question 3. Functions (8 marks) (a) Let A = {x ER : x # 1} and define the function f : A - R by x+1 f ( x ) = x- 1 Is f a bijection? Prove or disprove it. [4 marks] (b) Let S = {(x, y) E RX R : x # 2} and define the function g : S - R X R by y + 2 1 g (x, y) = (x - 2 x-2 Is g injective? Prove or disprove it. Is g surjective? Prove or disprove it. [4 marks]

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