What is a+b?
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\(g(x)=2/f(x)\\ f(x)=3x^2+4x+2\\ \frac{df(x)}{dx}=6x+4=0\\ x_{max}=-\dfrac{2}{3}\\ {\color{blue}g(x)_{max}=}2/(3\cdot \frac{4}{9}-\frac{8}{3}+2)=\color{blue}3\)
\(R\in \mathbb R\) | 0 < R \(\leq\) 3\(\)
\(\color{blue}a + b = 0 + 3 = 3\)
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