document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61852>Question 61852</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need some help finding the equation of the inverse function if the function is invertible:<BR>\n" );
document.write( "f(x)=3(cube root of 9x)\r<BR>\n" );
document.write( "\n" );
document.write( "could someone help me with this please? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #42631 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=42631\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need some help finding the equation of the inverse function if the function is invertible:<BR>\n" );
document.write( "f(x)=3(cube root of 9x) <BR>\n" );
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document.write( "It is invertible as it is one-to-one.<BR>\n" );
document.write( "y=3(9x)^(1/3)<BR>\n" );
document.write( "Interchange x and y and solve for y as follows:<BR>\n" );
document.write( "x/3 =(9y)^(1/3)<BR>\n" );
document.write( "Cube both sides to get:<BR>\n" );
document.write( "(x/3)^3 = 9y<BR>\n" );
document.write( "y=(1/9)(x/3)^3<BR>\n" );
document.write( "y=(1/243)x^3<BR>\n" );
document.write( "That is the inverse function.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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