document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=494623>Question 494623</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the domain of the function. (answer in interval notation)<BR>\n" );
document.write( "g(x) = x + 2 / x^2 - 25 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #337282 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=337282\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the domain of the function. (answer in interval notation)<BR>\n" );
document.write( "g(x) = x + 2 / x^2 - 25<BR>\n" );
document.write( "**<BR>\n" );
document.write( "When the denominator=0, the function becomes undefined. So, we set the denominator=0 and find the x-values which make the denominator=0, and these are the x-values excluded from the domain.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x^2-25=0<BR>\n" );
document.write( "(x+5)(x-5)=0<BR>\n" );
document.write( "x=-5<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=5<BR>\n" );
document.write( "Domain: (-&#8734;,-5) U (-5, 5) U (5, &#8734;)<BR>\n" );
document.write( "number line<BR>\n" );
document.write( "<====)-5(=====)5(=====> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );