document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=253595>Question 253595</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the inverse of f(x)= 4-3x^3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #185928 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=185928\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4-3x%5E3 ALIGN=MIDDLE  ALT=\"y=4-3x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4-3x%5E3 ALIGN=MIDDLE  ALT=\"y=4-3x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4-3y%5E3 ALIGN=MIDDLE  ALT=\"x=4-3y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Swap x and y \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-4=-3y%5E3 ALIGN=MIDDLE  ALT=\"x-4=-3y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 4 from both sides.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%2F%28-3%29=y%5E3 ALIGN=MIDDLE  ALT=\"%28x-4%29%2F%28-3%29=y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by -3.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28x-4%29%2F%283%29=y%5E3 ALIGN=MIDDLE  ALT=\"-%28x-4%29%2F%283%29=y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C-%28x-4%29%2F%283%29%29=y ALIGN=MIDDLE  ALT=\"root%283%2C-%28x-4%29%2F%283%29%29=y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the cube root of both sides to isolate y\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=root%283%2C-%28x-4%29%2F%283%29%29 ALIGN=MIDDLE  ALT=\"y=root%283%2C-%28x-4%29%2F%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the inverse function is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE f^{-1}(x)=\sqrt[3]{-\frac{x-4}{3}}\"> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );