Answer:
\(g^{-1}(x)=\frac{1}{2}x-2\)
Step-by-step explanation:
First, let's rename this as y = 2x + 4.
In order to find the inverse, switch the x and the y, then solve for the new y.
x = 2y + 4 so
2y = x - 4 and
\(y=\frac{1}{2}x-2\)
Putting it back into function notation:
\(g^{-1}(x)=\frac{1}{2}x-2\)
