Explanation
[tex]\begin{gathered} f(t)=2t+3 \\ g(t)=3t-4 \end{gathered}[/tex]
Step 1
to find (f/g) (t) , just replace, so
[tex]\begin{gathered} (\frac{f}{g})(t)=\frac{f(t)}{g(t)}=\frac{2t+3}{3t-4} \\ \frac{2t+3}{3t-4} \end{gathered}[/tex]so, the answer is
[tex]\begin{gathered} \frac{2t+3}{3t-4} \\ \end{gathered}[/tex]I hope this helps you