Question: =+8. Let f(x) be a continuous function on the real line satisfying f 1 2 (x + y) 1 2 f(x) + 1

=+8. Let f(x) be a continuous function on the real line satisfying f

1 2

(x + y)



≤

1 2

f(x) + 1 2

f(y).

Prove that f(x) is convex.

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