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

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