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Let \(f(x) = a{ x }^{ 2 } + bx + c\), and \(a, b, c \epsilon \Re\) and \(a \neq 0\).

Suppose \(f(x)>0\) for all \(x \epsilon \Re\). Let \(g(x) = f(x) + f'(x) + f''(x)\).

Then:

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