The function $g$ is defined by $g (x) = \frac{- 3 + 2 x}{4 + x}$ .
Find $g (x + 4)$
$g (x + 4) =$

Answer

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Answer

Final Answer: $g (x + 4) = \frac{2 x + 5}{x + 8}$

Steps

Step 1 ：The function $g (x)$ is given by $g (x) = \frac{- 3 + 2 x}{4 + x}$ .

Step 2 ：To find $g (x + 4)$ , we replace $x$ with $x + 4$ in the function.

Step 3 ：This gives us $g (x + 4) = \frac{- 3 + 2 (x + 4)}{4 + (x + 4)}$ .

Step 4 ：The simplified expression for $g (x + 4)$ is $\frac{2 x + 5}{x + 8}$ .

Step 5 ：Final Answer: $g (x + 4) = \frac{2 x + 5}{x + 8}$