document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156145>Question 156145</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534386172/algebrahomeworkh>college algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> thank you in advance for helping me with this problem!!!<BR>\n" );
document.write( "f(x)=x^2+x<BR>\n" );
document.write( "I factored out the x to get: x(x+1)and then got x can not equal 0 or -1 for the domain.  Am I on the right track?  Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #115010 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=115010\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Are you trying to find the domain of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E2%2Bx ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" > ??\r<BR>\n" );
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document.write( "If you are, then notice how there is no division by a variable or a square root of a variable. This means that we don't have to worry about division by zero or taking the square root of a negative number. So this means that we can plug in <b>any</b> number into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E2%2Bx ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" > and it will result in a real number.\r<BR>\n" );
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document.write( "So the domain is all real numbers. \r<BR>\n" );
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document.write( "The domain in set-builder notation is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left\{x\|x\in \mathbb{R}\right\}\">\r<BR>\n" );
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document.write( "Also the domain in interval notation is  <font size=\"6\">(</font><IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?-\infty,\infty\LARGE \"><font size=\"6\">)</font> </SPAN>\n" );
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