# Entrance exams

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Let f be a conve xfunction i.e.

f{tx+((1-t))y}<=tf((x))+((1-t))f((y)) for all 0<=t<=1 and x,y are real numbers.Then which of the following is necessarily true?

a)2f((0))+f((4))>=2f((1))+f((2))

b)fg is a convex function whenever g is convex

c)f is nondecreasing

d)none of these