document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62271>Question 62271</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the domain of f(x)= (2x + 3)/(2x^2 - 3x - 27). Leave your answer in interval notation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43046 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=43046\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the domain of f(x)= (2x + 3)/(2x^2 - 3x - 27). Leave your answer in interval notation.<BR>\n" );
document.write( "This is a rational function, the x values in rational functions have the restriction of not being anything that causes the denominator (bottom of a fraction) to =0.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-3x-27=0 ALIGN=MIDDLE  ALT=\"2x%5E2-3x-27=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B6x-9x-27=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B6x-9x-27=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E2%2B6x%29%2B%28-9x-27%29=0 ALIGN=MIDDLE  ALT=\"%282x%5E2%2B6x%29%2B%28-9x-27%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%28x%2B3%29-9%28x%2B3%29=0 ALIGN=MIDDLE  ALT=\"2x%28x%2B3%29-9%28x%2B3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%282x-9%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%282x-9%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x+3=0 and 2x-9=0<BR>\n" );
document.write( "x=-3 and 2x=9<BR>\n" );
document.write( "x=-3 and x=9/2<BR>\n" );
document.write( "This function is undefined at x=-3 and x=9/2.  Therefore the domain is:<BR>\n" );
document.write( "(-infinity,-3)U(-3,9/2)U(9/2,infinity) <---interval notation.<BR>\n" );
document.write( "This just means that x can be any real number as long as it's not -3 or 9/2.<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
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