what is the inverse of the function $g(x)=-3(x + 6)$? $g^{-1}(x)=$

Explanation:

Step1: Replace $g(x)$ with $y$

$y = - 3(x + 6)$

Step2: Swap $x$ and $y$

$x=-3(y + 6)$

Step3: Solve for $y$

First, divide both sides by - 3: $\frac{x}{-3}=y + 6$. Then subtract 6 from both sides: $y=\frac{x}{-3}-6=-\frac{1}{3}x - 6$

Answer:

$-\frac{1}{3}x - 6$