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

 Apr 17, 2022

Best Answer 

 #1
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Note that \(f(9) = f(3) + 3 = 8\).

\(f(27) = f(9) + 3 = 11\).

 

Then, \(f^{-1}(11) = f^{-1}(f(27)) = 27\).

 Apr 17, 2022
 #1
avatar+9369 
+1
Best Answer

Note that \(f(9) = f(3) + 3 = 8\).

\(f(27) = f(9) + 3 = 11\).

 

Then, \(f^{-1}(11) = f^{-1}(f(27)) = 27\).

MaxWong Apr 17, 2022

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