Answer:
[tex]f^{-1}(x)=3x+3[/tex]
Solution:
Write [tex]f(x)=x-\frac{2}{3} x-1[/tex] as an equation.
= [tex]y=x-\frac{2}{3}x-1[/tex]
Interchange the variables.
= [tex]x=y-\frac{2}{3}y-1[/tex]
Solve for [tex]y[/tex].
= [tex]y=3x+3[/tex]
Replace the [tex]y[/tex] with [tex]f^{-1} (x)[/tex] to show the final answer.
= [tex]f^{-1}(x)=3x+3[/tex]
