Given the functions below, find $f(x)-g(x)$
\[
\begin{array}{l}
f(x)=x^{2}+6 x-5 \\
g(x)=-x^{2}-3 x-1
\end{array}
\]
$f(x)-g(x)=9 x-4$
$f(x)-g(x)=2 x^{2}+3 x-6$
$f(x)-g(x)=2 x^{2}+9 x-4$
$f(x)-g(x)=3 x-6$

Answer

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Answer

So, the final answer is $f(x)-g(x)=\boxed{2x^2 + 9x - 4}$.

Steps

Step 1 ：Given the functions $f(x)=x^{2}+6 x-5$ and $g(x)=-x^{2}-3 x-1$, we are asked to find $f(x)-g(x)$.

Step 2 ：To find this, we need to subtract $g(x)$ from $f(x)$. This involves subtracting each corresponding term in $g(x)$ from $f(x)$.

Step 3 ：The difference between the two functions is calculated as $f(x)-g(x)=2x^2 + 9x - 4$.

Step 4 ：So, the final answer is $f(x)-g(x)=\boxed{2x^2 + 9x - 4}$.