Given the functions below, find $f(x)+g(x)$ \[ \begin{array}{l} f(x)=2 x+5 \\ g(x)=x^{2}-3 x+1 \\ f(x)+g(x)=x^{2}-x+6 \\ f(x)+g(x)=x^{2}+x+6 \\ f(x)+g(x)=x^{2}+x+4 \\ f(x)+g(x)=3 x^{2}-x+4 \end{array} \]

Step 1 ：Given the functions \(f(x)=2x+5\) and \(g(x)=x^{2}-3x+1\).

Step 2 ：To find the sum of the functions \(f(x)\) and \(g(x)\), we simply need to add the corresponding terms of each function together.

Step 3 ：The sum of the functions \(f(x)\) and \(g(x)\) is calculated as \(x^{2} - x + 6\).

Step 4 ：Final Answer: \(f(x)+g(x) = \boxed{x^{2} - x + 6}\)