document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31314>Question 31314</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have no idea if I am posting this problem in the right area but here goes.  Let f(x)=x+1/x, and g(x)=2/x.  Find the composition f*g(x)=f(g(x)) and simplify.  I put a star where the little circle was.  I don't even know how to find that little cirle!  Thank you for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #18005 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=18005\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let f(x)=x+1/x, and g(x)=2/x. Find the composition f*g(x)=f(g(x)) and simplify. I put a star where the little circle was. I don't even know how to find that little cirle!<BR>\n" );
document.write( "f*g(x)=f(g(x)).....MEANS PUT G(X) IN PLACE OF X IN F(X)..TO SIMPLIFY MATTERS FIRST <BR>\n" );
document.write( "PUT G(X)=Y...SO WE HAVE TO FIND F(Y) WHICH IS EASY....<BR>\n" );
document.write( "F(X)=X+1/X...SO...PUT Y IN PLACE OF X...<BR>\n" );
document.write( "F(Y)=Y+1/Y=(Y^2+1)/Y....<BR>\n" );
document.write( "NOW WE PUT Y=G(X)=2/X..SINCE Y IS AN INTERMEDIATARY WE INTODUCED ,LET US REMOVE IT BY SUBSTITUTING IT WITH Y=2/X...SO WE GET<BR>\n" );
document.write( "f*g(x)=f(g(x))=(Y^2+1)/Y={(2/X)^2+1}/(2/X)={(4/X^2)+1}/(2/X)<BR>\n" );
document.write( "={(4+X^2)/X^2}/(2/X)=(4+X^2)*X/(2X^2)=(4+X^2)/(2X)....IS THE ANSWER....\r<BR>\n" );
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document.write( "I put a star where the little circle was. I don't even know how to find that little cirle!<BR>\n" );
document.write( "BY THE WAY ,THAT LITTLE CIRCLE YOU WERE MENTIONING ABOUT IS A GENERAL SYMBOL TO REPRESENT ANY OPERATION LIKE ADDITION OR SUBTRACTION OR MULTIPLICATION OR DIVISION ETC....SINCE THEY HAVE INDIVIDUAL SYMBOLS LIKE +,-..ETC,THE IRCLE IS USED AS A GENERAL SYMBOL TO INDICATE ANY OPERATION AS IS DEFINED.HERE IT IS DEFINED AS EQUAL TO F OF G OF X=F(G(X))...OK....   </SPAN>\n" );
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