document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=903875>Question 903875</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Composite Function:<BR>\n" );
document.write( "Let h(t) = 5t/(t-1) and k(t) = 9/(3t+7) <BR>\n" );
document.write( "Find (hºk)(t) and simplify \r<BR>\n" );
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document.write( "hºk(t) = h( k(t))= h[ 9/(3t+ 7)] <BR>\n" );
document.write( "Plug in 9/(3t+ 7) into the rule for h: \r<BR>\n" );
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document.write( "5[ 9/(3t+7)] / [ 9/(3t+7) -1] = \r<BR>\n" );
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document.write( "45/( 3t+ 7) <BR>\n" );
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document.write( "9/(3t+ 7) -1 \r<BR>\n" );
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document.write( "I understand how to solve up until this point, what do I do next?\r<BR>\n" );
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document.write( "PLEASE HELP! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #548372 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=548372\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The real trouble then is how to simplify a rational expression.\r<BR>\n" );
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document.write( "Very complicated fraction when forming the composition, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%285%289%2F%283t%2B7%29%29%29%2F%28%289%2F%283t%2B7%29%29-1%29%29 ALIGN=MIDDLE  ALT=\"%28%285%289%2F%283t%2B7%29%29%29%2F%28%289%2F%283t%2B7%29%29-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%283t%2B7%29%2F9%29%2F%28%289%2F%283t%2B7%29%29-%283t%2B7%29%2F%283t%2B7%29%29%29 ALIGN=MIDDLE  ALT=\"%285%283t%2B7%29%2F9%29%2F%28%289%2F%283t%2B7%29%29-%283t%2B7%29%2F%283t%2B7%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%283t%2B7%29%2F9%29%2F%28%282-3t%29%2F%283t%2B7%29%29 ALIGN=MIDDLE  ALT=\"%285%283t%2B7%29%2F9%29%2F%28%282-3t%29%2F%283t%2B7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Division by a fraction is multiplying by the reciprocal,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%285%283t%2B7%29%29%2F%289%29%29+%2A+%28%283t%2B7%29%2F%282-3t%29%29 ALIGN=MIDDLE  ALT=\"%28%285%283t%2B7%29%29%2F%289%29%29+%2A+%28%283t%2B7%29%2F%282-3t%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Nothing to simplify so just perform the multiplications and simplify what is possible from that:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%289t%5E2%2B42t%2B49%29%29%2F%2818-27t%29 ALIGN=MIDDLE  ALT=\"%285%289t%5E2%2B42t%2B49%29%29%2F%2818-27t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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