Question

The beginning of the question is attached.  How do I argue that f(x) is concave if and only if g(x)=-f(x) is convex?

|A function f(x) is said to be concave if, for all x, y and 0 < 1
Af(x) + (1 - )f (y)
f(Aa(1 y

Image Transcription

|A function f(x) is said to be concave if, for all x, y and 0 < 1 Af(x) + (1 - )f (y) f(Aa(1 y

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Derivative

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