Answer:
[tex]f^{-1}(x)= \frac{3x}{2}+3[/tex]
Step-by-step explanation:
Interchange the variables:
x = y - 4 - [tex]\frac{y}{3} +2[/tex]
Solve for y:
[tex]y=\frac{3x}{2} +3[/tex]
Replace y with [tex]f^{-1} (x)[/tex] to show the final answer:
[tex]f^{-1}(x)= \frac{3x}{2}+3[/tex]
