document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=427490>Question 427490</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the domain in interval notation of f(x)= square root x^2-16 over x^2+5x+4? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #297286 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=297286\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solution:Since this is an rational function from its domain must rejected the values of x that make denominator zero. First factor the denominator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28sqrt%28x%5E2-16%29%29%2F%28x%2B4%29%28x%2B1%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28sqrt%28x%5E2-16%29%29%2F%28x%2B4%29%28x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(x+4)(x+1)=0 => x+4=0 =>x=-4 and x+1=0 => x=-1 For this two values of x our function is undefined. Thus, its domain are the intervals:\r<BR>\n" );
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document.write( "  ( -infinity, -4), ( -4, -1 ), ( -1, +infinity ) or all real numbers different fro -4 and -1. </SPAN>\n" );
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