[tex]\begin{gathered} \frac{g\mleft(t\mright)}{f\mleft(t\mright)}=\frac{t^2-2}{4t+4} \\ \frac{t^2-2}{4t+4}\text{ Since there are not common factors we can not simplify anymore} \\ \text{Answer is }\frac{g(t)}{f(t)}=\frac{t^2-2}{4t+4} \end{gathered}[/tex]
