Given:
The function is,
[tex]\begin{gathered} g(x)=\frac{4}{-x-3}-2 \\ y=\frac{4}{-x-3}-2 \end{gathered}[/tex]
The objective is to find the inverse of the function.
To find the inverse of a function, interchange the variables x and y and solve for y.
Then, the above equation can be represented as,
[tex]\begin{gathered} x=\frac{4}{-y-3}-2 \\ x+2=\frac{4}{-y-3} \\ -y-3=\frac{4}{x+2} \end{gathered}[/tex]
