Calculus Level 2

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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