Given
$f(x)=3 x^{2}+7 x$ and $g(x)=2 x^{2}-x-1$, find $(f+g)(x)$.

Answer

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Answer

Final Answer: $\boxed{5x^{2} + 6x - 1}$

Steps

Step 1 ：Given the functions $f(x)=3 x^{2}+7 x$ and $g(x)=2 x^{2}-x-1$

Step 2 ：The problem is asking for the sum of the two functions $f(x)$ and $g(x)$, which is represented as $(f+g)(x)$

Step 3 ：To find $(f+g)(x)$, we add the corresponding terms of $f(x)$ and $g(x)$ together

Step 4 ：So, $(f+g)(x) = (3x^{2}+7x) + (2x^{2}-x-1)$

Step 5 ：Simplify to get $(f+g)(x) = 5x^{2} + 6x - 1$

Step 6 ：Final Answer: $\boxed{5x^{2} + 6x - 1}$