Problem
3) \[ \begin{array}{l} g(x)=2 x+3 \\ f(x)=x^{2}+3 x \\ \text { Find } g(x)-f(x) \end{array} \]
Solution
Step 1 ：Given the functions \(g(x)=2x+3\) and \(f(x)=x^{2}+3x\), we are asked to find \(g(x)-f(x)\).
Step 2 ：To find this, we need to subtract \(f(x)\) from \(g(x)\). This involves subtracting each corresponding term in \(f(x)\) from \(g(x)\).
Step 3 ：The difference between the two functions is calculated as \(g(x)-f(x)=-x^2 - x + 3\).
Step 4 ：So, the final answer is \(g(x)-f(x)=\boxed{-x^2 - x + 3}\).
