Answer
$\frac{-x-3}{9x^2}$
Work Step by Step
$\frac{g(x)-g(3)}{x-3}=\frac{(\frac{1}{x^2)})-(\frac{1}{3^2})}{x-3}=\frac{3^2-x^2}{(x-3)(9x^2)}=\frac{-x-3}{9x^2}$
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