Solution
Step 1
Write the functions:
[tex]\begin{gathered} \text{f\lparen x\rparen= x}^2\text{ + 3x} \\ g(x)\text{ = 4 - x} \end{gathered}[/tex]
Step 2
[tex]\begin{gathered} (\frac{f}{g})(x)\text{ = }\frac{x^2+3x}{4\text{ - x}} \\ \\ (\frac{f}{g})(2)\text{ = }\frac{2^2\text{ + 3}\times2}{4-2} \\ =\text{ }\frac{4+\text{ 6}}{2} \\ \text{= }\frac{10}{2} \\ =\text{ 5} \end{gathered}[/tex]
Final answer
[tex](\frac{f}{g})(2)\text{ = 5}[/tex]
