Function

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

Guest Apr 17, 2022

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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

MaxWong · Answer 1 · 2022-04-17T02:44:43

Note that $f(9) = f(3) + 3 = 8$ .

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

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