document.write( "Question 1090148: Given that f(3)=5 and f(3x)=f(x)+2 for all x, find f^{-1}(11). \n" ); document.write( "

Algebra.Com's Answer #704544 by Fombitz(32388) $\"\"$ $\"About$

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$\"f%283%283%29%29=f%283%29%2B2=5%2B2=7\"$
\n" ); document.write( " $\"f%289%29=7\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"f%283%289%29%29=f%289%29%2B2=7%2B2=9\"$
\n" ); document.write( " $\"f%2827%29=9\"$
\n" ); document.write( "and,
\n" ); document.write( " $\"f%283%2827%29%29=f%2827%29%2B2=9%2B2=11\"$
\n" ); document.write( " $\"f%2881%29=11\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"f%5E%28-1%29%2811%29=81\"$
\n" ); document.write( " \n" ); document.write( "

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