\[
\begin{array}{l}
f(x)=4 x^{2}+7 x-3 \\
g(x)=6 x^{3}-7 x^{2}-5
\end{array}
\]
Find $(f+g)(x)$.

Answer

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Answer

$\boxed{(f+g)(x) = 6x^3 - 3x^2 + 7x - 8}$

Steps

Step 1 ：Given functions: $f(x) = 4x^2 + 7x - 3$ and $g(x) = 6x^3 - 7x^2 - 5$

Step 2 ：To find $(f+g)(x)$, add the corresponding terms of each function: $6x^3 - 3x^2 + 7x - 8$

Step 3 ：$\boxed{(f+g)(x) = 6x^3 - 3x^2 + 7x - 8}$