document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=430507>Question 430507</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How can i find the inverse of the function <BR>\n" );
document.write( "f(x) = x^3 -5 / x -3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #298985 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=298985\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  How can i find the inverse of the function <BR>\n" );
document.write( "f(x) = x^3 -5 / x -3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "1st: Interchange x and y to get:<BR>\n" );
document.write( "x = (y^3-5)/(y-3)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "2nd: Solve for \"y\":<BR>\n" );
document.write( "y^3-5 = xy-3x<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "y^3-xy+3x-5 = 0 <BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Comment: Solving that for y is no easy task.<BR>\n" );
document.write( "The y will always be a function of \"x\".<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Try graphing y = (x^3-5)/(x-3)<BR>\n" );
document.write( "Reflect the graph in the line y = x<BR>\n" );
document.write( "That is the graph of the inverse.<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );