document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1016558>Question 1016558</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It is known that f((x-3)/(x+1)) + f((3+x)/(1-x)) = x where x is not 1 and -1. Determine f(x)\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #632940 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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/cgi-bin/show-face.mpl?user=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=632940\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large f\left(\frac{x-3}{x+1}\right) + f\left(\frac{x+3}{1-x}\right) = x\"> for all x other than 1, -1.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If x = 0, then <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large f(-3) + f(3) = 0\"><BR>\n" );
document.write( "If x = 3, then <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large f(0) + f(-3) = 3\"><BR>\n" );
document.write( "If x = -3, then <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large f(3) + f(0) = -3\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "These three statements imply <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large f(0) = 0\">, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large f(3) = -3\">, and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large f(-3) = 3\">. However I could not determine anymore useful information about f(x). Where is this problem from? </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );