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

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Answer

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

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 $f (x) - g (x) = 2 x^{2} + 9 x - 4$ .

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