document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=139562>Question 139562</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321356918/algebrahomeworkh>College Algrbra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find (f o g)(16) if f(x)=3^x and f(x)=log4(x)\r<BR>\n" );
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document.write( "I got this far<BR>\n" );
document.write( "g(16)=log4(16)=4\r<BR>\n" );
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document.write( "Please help.Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101784 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=101784\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remember (f o g)(x) is the same as f(g(x))\r<BR>\n" );
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document.write( "So (f o g)(16)=f(g(16))\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%2816%29=log%284%2C%2816%29%29=2 ALIGN=MIDDLE  ALT=\"g%2816%29=log%284%2C%2816%29%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (note: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%284%2C%2816%29%29 ALIGN=MIDDLE  ALT=\"log%284%2C%2816%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > asks: \"4 raised to what power gives me 16?\". Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E2=16 ALIGN=MIDDLE  ALT=\"4%5E2=16\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%284%2C%2816%29%29=2 ALIGN=MIDDLE  ALT=\"log%284%2C%2816%29%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > )\r<BR>\n" );
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document.write( "So g(16)=2\r<BR>\n" );
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document.write( "Now this means that f(g(16))=f(2)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29=3%5E2=9 ALIGN=MIDDLE  ALT=\"f%282%29=3%5E2=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So f(g(16))=9 </SPAN>\n" );
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