Convex Functions: Proving g(x) is Convex

[russel.arnold]

let f(X) : Rⁿ --> R be a function defined on convex set S s.t S is a subset of
Rⁿ (real space n-dim). Let f is positive throughout. Then define g(x) = (f(x))^2. Prove that if f(x) is convex then g(x) is also convex.

 

[SW VandeCarr]

let f(X) : Rⁿ --> R be a function defined on convex set S s.t S is a subset of
Rⁿ (real space n-dim). Let f is positive throughout. Then define g(x) = (f(x))^2. Prove that if f(x) is convex then g(x) is also convex.

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