document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198289>Question 198289</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello!\r<BR>\n" );
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document.write( "Find f + g, f - g, fg, f/g and their domains.\r<BR>\n" );
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document.write( " f(x)=2/(x+3), g(x)=x/(x+3) \r<BR>\n" );
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document.write( "thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #148730 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=148730\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> # 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%2Bg=f%28x%29%2Bg%28x%29=2%2F%28x%2B3%29%2Bx%2F%28x%2B3%29=%282%2Bx%29%2F%28x%2B3%29 ALIGN=MIDDLE  ALT=\"f%2Bg=f%28x%29%2Bg%28x%29=2%2F%28x%2B3%29%2Bx%2F%28x%2B3%29=%282%2Bx%29%2F%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%2Bg=%282%2Bx%29%2F%28x%2B3%29 ALIGN=MIDDLE  ALT=\"f%2Bg=%282%2Bx%29%2F%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where the domain is: x can be any real number except <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-3 ALIGN=MIDDLE  ALT=\"x%3C%3E-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "# 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f-g=f%28x%29-g%28x%29=2%2F%28x%2B3%29-x%2F%28x%2B3%29=%282-x%29%2F%28x%2B3%29 ALIGN=MIDDLE  ALT=\"f-g=f%28x%29-g%28x%29=2%2F%28x%2B3%29-x%2F%28x%2B3%29=%282-x%29%2F%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f-g=%282-x%29%2F%28x%2B3%29 ALIGN=MIDDLE  ALT=\"f-g=%282-x%29%2F%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where the domain is: x can be any real number except <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-3 ALIGN=MIDDLE  ALT=\"x%3C%3E-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "# 3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=fg=f%28x%29g%28x%29+=+%282%2F%28x%2B3%29%29%28x%2F%28x%2B3%29%29=%282x%29%2F%28x%2B3%29 ALIGN=MIDDLE  ALT=\"fg=f%28x%29g%28x%29+=+%282%2F%28x%2B3%29%29%28x%2F%28x%2B3%29%29=%282x%29%2F%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=fg=%282x%29%2F%28x%2B3%29 ALIGN=MIDDLE  ALT=\"fg=%282x%29%2F%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where the domain is: x can be any real number except <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-3 ALIGN=MIDDLE  ALT=\"x%3C%3E-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "# 4\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%2Fg=%28f%28x%29%29%2F%28g%28x%29%29=%282%2F%28x%2B3%29%29%2F%28x%2F%28x%2B3%29%29=%282%2F%28x%2B3%29%29%28%28x%2B3%29%2Fx%29=%282%28x%2B3%29%29%2F%28x%28x%2B3%29%29=%282%2Across%28%28x%2B3%29%29%29%2F%28x%2Across%28%28x%2B3%29%29%29=2%2Fx ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%2Fg=2%2Fx ALIGN=MIDDLE  ALT=\"f%2Fg=2%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > where the domain is: x can be any real number except <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-3 ALIGN=MIDDLE  ALT=\"x%3C%3E-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E0 ALIGN=MIDDLE  ALT=\"x%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note: all of the domain restrictions are to avoid division by zero. </SPAN>\n" );
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