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

Answer

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Answer

Simplify the expression: $ \boxed{(f-g)(x) = 4x^3 + 6x^2 - 7x - 1} $

Steps

Step 1 ：Subtract the corresponding terms of the two functions: $ (f-g)(x) = (4x^3 + 6x^2 - 3x - 4) - (4x - 3) $

Step 2 ：Simplify the expression: $ \boxed{(f-g)(x) = 4x^3 + 6x^2 - 7x - 1} $