Question: 5. 7 marks We say that a function f : R - R is convex if for any x, y e R and A E

5. 7 marks We say that a function f : R" - R is convex if for any x, y e R" and A E [0, 1] (i.e. 0 f2(x), If2 ( x) if f2 (x) > fi(x). Prove that g is a convex function. [Note that you have to prove this for ANY convex functions f1 and f2. You will get zero mark if you do this only for a particular pair of functions.]

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