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

Answer

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Answer

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

Steps

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: $f(x)+g(x) = \boxed{x^{2} - x + 6}$