document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=323302>Question 323302</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For f(x)= -8x/x-2, find f^-1(x).  State any restrictions on the domain of 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 #231439 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=231439\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For f(x)= -8x/x-2, find f^-1(x). <BR>\n" );
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document.write( "1st: interchange x and y to get<BR>\n" );
document.write( "x = -8y/(y-2)<BR>\n" );
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document.write( "2nd: solve for \"y\":<BR>\n" );
document.write( "Cross-multiply to get:<BR>\n" );
document.write( "xy-2x = -8y<BR>\n" );
document.write( "--<BR>\n" );
document.write( "Rearrange:<BR>\n" );
document.write( "8y+xy = 2x<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "y(8+x) = 2x<BR>\n" );
document.write( "f^-1(x) = 2x/(8+x)\r<BR>\n" );
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document.write( "==============\r<BR>\n" );
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document.write( "State any restrictions on the domain of f^-1(x).<BR>\n" );
document.write( "x cannot be -8<BR>\n" );
document.write( "=====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );