Question: Show that if y=f(x) is a concave function on R, then z= 1/f(x) is a convex function [assume that f(x)>0]. Prove it in general, do

Show that if y=f(x) is a concave function on R, then z= 1/f(x) is a convex function [assume that f(x)>0]. Prove it in general, do not put numbers in the problem.

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