Question

I need help solving the second one. Algebra of function

Answer 1

Step 1

Write the functions:

`\begin{gathered} \text{f\lparen x\rparen= x}^2\text{ + 3x} \\ g(x)\text{ = 4 - x} \end{gathered}`

Step 2

`\begin{gathered} ((f)/(g))(x)\text{ = }\frac{x^2+3x}{4\text{ - x}} \\ \\ ((f)/(g))(2)\text{ = }\frac{2^2\text{ + 3}*2}{4-2} \\ =\text{ }\frac{4+\text{ 6}}{2} \\ \text{= }(10)/(2) \\ =\text{ 5} \end{gathered}`

Final answer

`((f)/(g))(2)\text{ = 5}`