document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=562491>Question 562491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let f(x) be a function such that f(x)+xf(2012/x)=5x for x>0.  Find the value of f(4). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #364602 by </B><A HREF=/tutors/aboutme.mpl?userid=issacodegard><B>issacodegard(60)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=issacodegard><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=issacodegard><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=364602\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Input 4 and 503 into the function:<BR>\n" );
document.write( "f(4)+4f(503)=20<BR>\n" );
document.write( "f(503)+503f(4)=2515<BR>\n" );
document.write( "So,<BR>\n" );
document.write( "f(4)=20-4f(503)=20-4(2515-503f(4))=-10040+2012f(4)<BR>\n" );
document.write( "So, 2011f(4)=10040<BR>\n" );
document.write( "So, f(4)=10040/2011<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );