[tex]\frac{f}{g}(2) = \frac{2}{11}\\[/tex]
[tex]\frac{f}{g}(2) = \frac{f(2)}{g(2)} \\ \frac{f}{g}(2) = \frac{(2)^2}{5(2)^2 +2} \\ \frac{f}{g}(2) = \frac{4}{5(4) +2} \\ \frac{f}{g}(2) = \frac{4}{20 +2} \\ \frac{f}{g}(2) = \frac{4}{22} \\ \frac{f}{g}(2) = \frac{2}{11}[/tex]