Question: I have this doubt: Let a set S contained in R^n be convex set and c,d be in R^n be vectors. Suppose that d T

I have this doubt:

Let a set S contained in R^n be convex set and c,d be in R^n be vectors. Suppose that dTx>0 for all x in S.

Show that the function f:C->R defined by f(x)=(cTx)2/(dTx) is convex.

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