document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=220242>Question 220242</A>: <I><SPAN STYLE=\"word-break: break-all;\"> determine the reciprocal of 1 over f plus 1 over g <BR>\n" );
document.write( "1/f + 1/g.<BR>\n" );
document.write( "for what values of f and g is the reciprocal defined? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165386 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=165386\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Note: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%3C%3E0 ALIGN=MIDDLE  ALT=\"f%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%3C%3E0 ALIGN=MIDDLE  ALT=\"g%3C%3E0\"   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=1%2Ff+%2B+1%2Fg ALIGN=MIDDLE  ALT=\"1%2Ff+%2B+1%2Fg\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%2F%28fg%29+%2B+1%2Fg ALIGN=MIDDLE  ALT=\"g%2F%28fg%29+%2B+1%2Fg\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%2Fg ALIGN=MIDDLE  ALT=\"g%2Fg\"   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=g%2F%28fg%29+%2B+f%2F%28fg%29 ALIGN=MIDDLE  ALT=\"g%2F%28fg%29+%2B+f%2F%28fg%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the second fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%2Ff ALIGN=MIDDLE  ALT=\"f%2Ff\"   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=%28g%2Bf%29%2F%28fg%29 ALIGN=MIDDLE  ALT=\"%28g%2Bf%29%2F%28fg%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28fg%29%2F%28g%2Bf%29 ALIGN=MIDDLE  ALT=\"%28fg%29%2F%28g%2Bf%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the reciprocal of the fraction.\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%2Bf%3C%3E0 ALIGN=MIDDLE  ALT=\"g%2Bf%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > (to avoid dividing by zero), this means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%3C%3E-g ALIGN=MIDDLE  ALT=\"f%3C%3E-g\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So the reciprocal of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Ff+%2B+1%2Fg ALIGN=MIDDLE  ALT=\"1%2Ff+%2B+1%2Fg\"   DISABLED_style= \"max-width:90%; height:auto;\" > is defined whenever <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%3C%3E-g ALIGN=MIDDLE  ALT=\"f%3C%3E-g\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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