document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=643975>Question 643975</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this :<BR>\n" );
document.write( "Let f(x)=3x-1, g(x)=5 / (2x+7) and h(x)=x^2+1. Find ( h.g.f)(x)<BR>\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #404731 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=404731\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let f(x)=3x-1, g(x)= 5/(2x+7) and h(x)=x^2+1\r<BR>\n" );
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document.write( "you want (fogoh)(x) = f[g[h(x)]]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "= f[g[(x^2+1)]]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "= f[5/2(x^2+1)+7)] <BR>\n" );
document.write( "---<BR>\n" );
document.write( "= f[5/[2x^2+9]]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= 3[5/(2x^2+9)]-1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= 15/(2x^2+9) - 1<BR>\n" );
document.write( "----<BR>\n" );
document.write( "= [15-(2x^2-9]]/(2x^2+9)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= [-2x^2-24]/2x^2+9]\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "--------<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );