document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=660394>Question 660394</A>: <I><SPAN STYLE=\"word-break: break-all;\"> f(x) = 5/x + 4 <BR>\n" );
document.write( " g(x) = x /x + 4 <BR>\n" );
document.write( " find the domain of (f/g)(x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #411170 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=411170\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+5%2F%28x+%2B+4%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+5%2F%28x+%2B+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+x+%2F%28x+%2B+4%29 ALIGN=MIDDLE  ALT=\"g%28x%29+=+x+%2F%28x+%2B+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( " find the domain of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%2Fg%29%28x%29 ALIGN=MIDDLE  ALT=\"%28f%2Fg%29%28x%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=%28f%2Fg%29%28x%29+=+%285%2F%28x+%2B+4%29%29%2F%28+x+%2F%28x+%2B+4%29%29 ALIGN=MIDDLE  ALT=\"%28f%2Fg%29%28x%29+=+%285%2F%28x+%2B+4%29%29%2F%28+x+%2F%28x+%2B+4%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=%28f%2Fg%29%28x%29+=+%285%2Fcross%28%28x+%2B+4%29%29%29%2F%28+x+%2Fcross%28%28x+%2B+4%29%29%29 ALIGN=MIDDLE   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=%28f%2Fg%29%28x%29+=+5%2Fx+ ALIGN=MIDDLE  ALT=\"%28f%2Fg%29%28x%29+=+5%2Fx+\"   DISABLED_style= \"max-width:90%; height:auto;\" >....as you see, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > is denominator, therefore cannot \r<BR>\n" );
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document.write( "be equal to zero\r<BR>\n" );
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document.write( "as you can see in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+and+%7B%7B%7Bg%28x%29%29%29%2C+denominator+is+%7B%7B%7Bx%2B4 ALIGN=MIDDLE  ALT=\"f%28x%29+and+%7B%7B%7Bg%28x%29%29%29%2C+denominator+is+%7B%7B%7Bx%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >; therefore \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+ ALIGN=MIDDLE  ALT=\"x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > cannot be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4 ALIGN=MIDDLE  ALT=\"-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "so, the domain is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > element of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <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;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-4 ALIGN=MIDDLE  ALT=\"x%3C%3E-4\"   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=+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%285%2F%28x+%2B+4%29%29%2F%28+x+%2F%28x+%2B+4%29%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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