Using the two limits $\displaystyle{\lim_{x \to 4} f(x) = 7}$ and $\displaystyle{\lim_{x \to 4} g(x) = 4}$, evaluate the limit: $\displaystyle{ \lim_{x \to 4} \frac{f(x) + g(x)}{6 f(x)} = }$ Enter DNE if the limit does not exist.