SOLUTION: Given that f(3)=5 and f(3x)=f(x)+2 for all x, find f^{-1}(11).

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Question 1090148: Given that f(3)=5 and f(3x)=f(x)+2 for all x, find f^{-1}(11).
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%283%283%29%29=f%283%29%2B2=5%2B2=7
f%289%29=7
So then,
f%283%289%29%29=f%289%29%2B2=7%2B2=9
f%2827%29=9
and,
f%283%2827%29%29=f%2827%29%2B2=9%2B2=11
f%2881%29=11
So,
f%5E%28-1%29%2811%29=81