document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65784>Question 65784</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! I need to state the domain for\r<BR>\n" );
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document.write( "1. 6/4x^3\r<BR>\n" );
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document.write( "2. (x+5)/(x^2-36)\r<BR>\n" );
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document.write( "3. (x+5)/(x^2+36)\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 #46554 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=46554\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> These are rational expressions, the domain of rational expressions contain anything EXCEPT what will make the denominator (bottom) equal 0.\r<BR>\n" );
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document.write( "1. 6/4x^3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F4x%5E3 ALIGN=MIDDLE  ALT=\"6%2F4x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The restricted values are found by setting the denominator equal to 0 and solving for x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E3=0 ALIGN=MIDDLE  ALT=\"4x%5E3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E3%2F4=0%2F4 ALIGN=MIDDLE  ALT=\"4x%5E3%2F4=0%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3=0 ALIGN=MIDDLE  ALT=\"x%5E3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cubed root (x^3)= cubed root (0)<BR>\n" );
document.write( "x=0<BR>\n" );
document.write( "The domain is all real numbers except 0.<BR>\n" );
document.write( "{x|x not= 0} <---set builder notation<BR>\n" );
document.write( "(-infinity,0)U(0,infinity) <--interval notation<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2. (x+5)/(x^2-36)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-36=0 ALIGN=MIDDLE  ALT=\"x%5E2-36=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-36%2B36=0%2B36 ALIGN=MIDDLE  ALT=\"x%5E2-36%2B36=0%2B36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=36 ALIGN=MIDDLE  ALT=\"x%5E2=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2%29=%2B-sqrt%2836%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2%29=%2B-sqrt%2836%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x=-6 or x=6<BR>\n" );
document.write( "{x|x not= +\- 6}<BR>\n" );
document.write( "(-infinity,-6)U(-6,6)U(6,infinity)<BR>\n" );
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document.write( "3. (x+5)/(x^2+36)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B36=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B36=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B36-36=0-36 ALIGN=MIDDLE  ALT=\"x%5E2%2B36-36=0-36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=-36 ALIGN=MIDDLE  ALT=\"x%5E2=-36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2%29=%2B-sqrt%28-36%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2%29=%2B-sqrt%28-36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This results in no real number solution, therefore the domain for this is ALL REAL NUMBERS.<BR>\n" );
document.write( "{x|x=R}<BR>\n" );
document.write( "(-infinity,infinity)<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );