Answer:
[tex]f^{-1}(x)=3x-6[/tex]
Step-by-step explanation:
Let's replace [tex]f(x)[/tex] with [tex]x[/tex] and replace [tex]x[/tex] with [tex]f^{-1}(x)[/tex] ad solve.
[tex]x=1/3*f^{-1}(x)+2[/tex]
[tex]x-2=1/3*f^{-1}(x)[/tex]
[tex]f^{-1}(x)=3(x-2)[/tex].
[tex]\boxed{f^{-1}(x)=3x-6}[/tex]
