document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=785657>Question 785657</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the domain and range of the composite function<BR>\n" );
document.write( "f o g, g o f\r<BR>\n" );
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document.write( "f(x)=1/x<BR>\n" );
document.write( "g(x)=x/(x+1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #477658 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=477658\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the domain and range of the composite function<BR>\n" );
document.write( "f(x)=1/x<BR>\n" );
document.write( "g(x)=x/(x+1)<BR>\n" );
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document.write( "f o g  = f[g(x)] = f[x/(x+1)] = (x+1)/x = 1+(1/x)<BR>\n" );
document.write( "Domain:: All Real numbers except x = 0<BR>\n" );
document.write( "Range: All Real numbers except y = 1<BR>\n" );
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document.write( "g o f = g[f(x)] = g[1/x] = (1/x)/((1/x)+1) = (1/x)/(1+x)/x = 1/(1+x)<BR>\n" );
document.write( "Domain: All Real Numbers except x = -1<BR>\n" );
document.write( "Range:: All Real Numbers except y = 0\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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