document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=807535>Question 807535</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve these functions, with work shown.\r<BR>\n" );
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document.write( "	Let f(x)=x+4 and g(x)=x^2+8x –3.  \r<BR>\n" );
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document.write( "Find each of the following functions:\r<BR>\n" );
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document.write( "	(f+g)(x)<BR>\n" );
document.write( "	(f–g)(x)<BR>\n" );
document.write( "	(fg)(x)<BR>\n" );
document.write( "	f&#8728;g\r<BR>\n" );
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document.write( "Is there a calculator I can use for functions? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #486367 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=486367\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Calculator?  Maybe, but for these, none is needed.\r<BR>\n" );
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document.write( "(f+g)(x), just addition of the functions.\r<BR>\n" );
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document.write( "(f-g)(x), subtraction of g from f.\r<BR>\n" );
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document.write( "(fg)(x), the multiplication of functions.\r<BR>\n" );
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document.write( "I only explain the last one, the fourth in your list:<BR>\n" );
document.write( "f o g, means the function f composed of the function g, so that g is the input for f.  In your given examples for f and g, this would mean <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29=%28x%5E2%2B8x-3%29%2B4=x%5E2%2B8x-3%2B4=highlight%28x%5E2%2B8x%2B1%29 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=%28x%5E2%2B8x-3%29%2B4=x%5E2%2B8x-3%2B4=highlight%28x%5E2%2B8x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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