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

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Answer

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

Steps

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

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