document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=959113>Question 959113</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the one-to-one function f(x) = sqrt[3]{x} - 8; find the f^{-1}(x). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #586207 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=586207\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the one-to-one function f(x) = sqrt[3]{x} - 8;<BR>\n" );
document.write( "I'm going to assume you mean the following::<BR>\n" );
document.write( "f(x) = x^(1/3) - 8<BR>\n" );
document.write( "------------------------------ <BR>\n" );
document.write( "find the f^{-1}(x).<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "1st: Interchange x and y::<BR>\n" );
document.write( "x = y^(1/3) - 8<BR>\n" );
document.write( "------<BR>\n" );
document.write( "2nd: Solve for \"y\":<BR>\n" );
document.write( "y^(1/3) = x+8<BR>\n" );
document.write( "---<BR>\n" );
document.write( "y = (x+8)^3<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );