Question: 3. Let fi and f2 be two convex functions from R to R. (a) Let f(x) = fi(x) + f2(x), VER. Prove that f is

3. Let fi and f2 be two convex functions from R" to R. (a) Let f(x) = fi(x) + f2(x), VER". Prove that f is convex. (b) Let Give an example of f, and f2 such that g is not convex. (c) Let Prove that h is convex. (d) Let Give an example of f, and f, such that & is not convex

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