document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=443270>Question 443270</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given f(x)=  3 over x(squared)-4   and g(x)=  5 over x\r<BR>\n" );
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document.write( "Find the following<BR>\n" );
document.write( "1. f o g<BR>\n" );
document.write( "2. domain of f o g </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305778 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=305778\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=+3+%2F%28x%5E2-4+%29+and%0D%0A%7B%7B%7Bg%28x%29=+5%2F+x ALIGN=MIDDLE  ALT=\"f%28x%29=+3+%2F%28x%5E2-4+%29+and%0D%0A%7B%7B%7Bg%28x%29=+5%2F+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Find the following<BR>\n" );
document.write( "1. f o g\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+o+g%28x%29=f%28g%28x%29%29 ALIGN=MIDDLE  ALT=\"f+o+g%28x%29=f%28g%28x%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=f+o+g%28x%29=f%283%2F%285%2F+x%29%5E2-4%29%29 ALIGN=MIDDLE  ALT=\"f+o+g%28x%29=f%283%2F%285%2F+x%29%5E2-4%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=f+o+g%28x%29=f%283%2F%2825%2Fx%5E2-4%29%29 ALIGN=MIDDLE  ALT=\"f+o+g%28x%29=f%283%2F%2825%2Fx%5E2-4%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=f+o+g%28x%29=f%283%2F%28%2825-4x%5E2%29%2Fx%5E2%29%29 ALIGN=MIDDLE  ALT=\"f+o+g%28x%29=f%283%2F%28%2825-4x%5E2%29%2Fx%5E2%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=f+o+g%28x%29=f%283x%5E2%2F%2825-4x%5E2%29%29 ALIGN=MIDDLE  ALT=\"f+o+g%28x%29=f%283x%5E2%2F%2825-4x%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2. domain of  f o g\r<BR>\n" );
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document.write( "restrictions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25-4x%5E2 ALIGN=MIDDLE  ALT=\"25-4x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >could not be equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so,  it will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25-4x%5E2=0 ALIGN=MIDDLE  ALT=\"25-4x%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > for:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25-4x%5E2=0 ALIGN=MIDDLE  ALT=\"25-4x%5E2=0\"   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=25=4x%5E2 ALIGN=MIDDLE  ALT=\"25=4x%5E2\"   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=25%2F4=x%5E2 ALIGN=MIDDLE  ALT=\"25%2F4=x%5E2\"   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=x=5%2F2 ALIGN=MIDDLE  ALT=\"x=5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >...or...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-5%2F2 ALIGN=MIDDLE  ALT=\"x=-5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so domain is (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-infinity ALIGN=MIDDLE  ALT=\"-infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2F2 ALIGN=MIDDLE  ALT=\"-5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >) U (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F2 ALIGN=MIDDLE  ALT=\"5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   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+500%2C+500%2C+-5%2C+10%2C+-5%2C+5%2C+3x%5E2%2F%2825-4x%5E2%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C+500%2C+-5%2C+10%2C+-5%2C+5%2C+3x%5E2%2F%2825-4x%5E2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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