The functions $f$ and $g$ are defined as follows
$f (x) = 5 x + 4 g (x) = 2 x^{2} - 3 x$
Find $f (- 4)$ and $g (- 6)$ .
Simplify your answers as much as possible.
$f (- 4) =$
$g (- 6) =$

Answer

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Answer

So, the final answers are $f (- 4) = - 16$ and $g (- 6) = 90$ .

Steps

Step 1 ：The functions $f$ and $g$ are defined as follows: $f (x) = 5 x + 4$ and $g (x) = 2 x^{2} - 3 x$ .

Step 2 ：We are asked to find the values of $f (- 4)$ and $g (- 6)$ .

Step 3 ：To find these values, we substitute $- 4$ and $- 6$ into the functions $f (x)$ and $g (x)$ respectively.

Step 4 ：Substituting $- 4$ into $f (x)$ , we get $f (- 4) = 5 (- 4) + 4 = - 16$ .

Step 5 ：Substituting $- 6$ into $g (x)$ , we get $g (- 6) = 2 (- 6)^{2} - 3 (- 6) = 90$ .

Step 6 ：So, the final answers are $f (- 4) = - 16$ and $g (- 6) = 90$ .