\textbf{5.} Analyze whether the function ( f(x) = (g(x))^2 ) is a convex function, where[g(x) = \max{2 + x, , x, , x^2 - 4}.]
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\textbf{5.} Analyze whether the function ( f(x) = (g(x))^2 ) is a convex function, where[g(x) = \max{2 + x, , x, , x^2 - 4}.]