3)
\[
\begin{array}{l}
g(x)=2 x+3 \\
f(x)=x^{2}+3 x \\
\text { Find } g(x)-f(x)
\end{array}
\]

Answer

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Answer

So, the final answer is \(g(x)-f(x)=\boxed{-x^2 - x + 3}\).

Steps

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 \(g(x)-f(x)=\boxed{-x^2 - x + 3}\).