[tex]\bf \begin{cases}
f(x)=4x-7\\
g(x)=3x^2+14x+4
\end{cases}
\\\\\\
(f\div g)(-5)\implies f(-5)\div g(-5)\implies \cfrac{f(-5)}{g(-5)}\\\\
-------------------------------\\\\
\cfrac{\stackrel{f(-5)}{4(-5)-7}}{\stackrel{g(-5)}{3(-5)^2+14(-5)+4}}\implies \cfrac{-27}{75-70+4}\implies \cfrac{-27}{9}\implies -3[/tex]