To determine the inverse function :
[tex]f(x)=\text{ 2(x-4)}[/tex][tex]\begin{gathered} f(x)=\text{ y} \\ y=2x-8 \\ y+8=2x \\ 2x=y+8 \end{gathered}[/tex]The inverse function is calculated by replacing the x with y variable
[tex]\begin{gathered} \frac{2x}{2}=\frac{y}{2}+\frac{8}{2} \\ x=\frac{y+8}{2} \\ f^{-1}(x)=\frac{x+8}{2} \end{gathered}[/tex]Therefore the inverse function :
[tex]f^{-1}(x)=\frac{x+8}{2}[/tex]
