document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=389690>Question 389690</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Without graphing, find the domain of the following functions:\r<BR>\n" );
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document.write( "a)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+sqrt%28%28x+-+3%29%2F%282x%5E2+-+8%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+sqrt%28%28x+-+3%29%2F%282x%5E2+-+8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and\r<BR>\n" );
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document.write( "b)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+root%283%2C%28x+%2B+5%29%2F%28x%5E2+-+9%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+root%283%2C%28x+%2B+5%29%2F%28x%5E2+-+9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #276219 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=276219\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+sqrt%28%28x+-+3%29%2F%282x%5E2+-+8%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+sqrt%28%28x+-+3%29%2F%282x%5E2+-+8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+sqrt%28x+-+3%29%2Fsqrt%282x%5E2+-+8%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+sqrt%28x+-+3%29%2Fsqrt%282x%5E2+-+8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3 ALIGN=MIDDLE  ALT=\"x+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The numerator is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the denominator is (+)<BR>\n" );
document.write( "and<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C+3 ALIGN=MIDDLE  ALT=\"x+%3C+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, The numerator is imaginary<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E+3 ALIGN=MIDDLE  ALT=\"x+%3E+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, numerator is (+)<BR>\n" );
document.write( "and denominator is (+)<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2 ALIGN=MIDDLE  ALT=\"x+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The denominator is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and the numerator is imaginary<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C+2 ALIGN=MIDDLE  ALT=\"x+%3C+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the denominator is imaginary<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "The restriction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E+=+3 ALIGN=MIDDLE  ALT=\"x+%3E+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > includes <BR>\n" );
document.write( "the restriction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E+2 ALIGN=MIDDLE  ALT=\"x+%3E+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so that is the domain<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E=+3 ALIGN=MIDDLE  ALT=\"x+%3E=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > answer\r<BR>\n" );
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document.write( "b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+root%283%2C%28x+%2B+5%29%2F%28x%5E2+-+9%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+root%283%2C%28x+%2B+5%29%2F%28x%5E2+-+9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+root%283%2C%28x+%2B+5%29%29%2Froot%283%2C%28x%5E2+-+9%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+root%283%2C%28x+%2B+5%29%29%2Froot%283%2C%28x%5E2+-+9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-5 ALIGN=MIDDLE  ALT=\"x+=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > the numerator is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "and the denominator is (+)<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C+-5 ALIGN=MIDDLE  ALT=\"x+%3C+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > the numerator is (-) <BR>\n" );
document.write( "and the denominator is (+) <BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E+-5 ALIGN=MIDDLE  ALT=\"x+%3E+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > the numerator is (-) <BR>\n" );
document.write( "and the denominator is (+) or (-)<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3 ALIGN=MIDDLE  ALT=\"x+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the denominator is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C+3 ALIGN=MIDDLE  ALT=\"x+%3C+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E+3 ALIGN=MIDDLE  ALT=\"x+%3E+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > denominator is (+)<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3 ALIGN=MIDDLE  ALT=\"x+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > not allowed is the only restriction<BR>\n" );
document.write( "The domain is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E+3 ALIGN=MIDDLE  ALT=\"x+%3E+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C+3 ALIGN=MIDDLE  ALT=\"x+%3C+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );