document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=19341>Question 19341</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello\r<BR>\n" );
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document.write( "My daughter need help finding the domain of the rational function.  <BR>\n" );
document.write( "f(x)=x^2-36/x^2-7x+6\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 #9358 by </B><A HREF=/tutors/aboutme.mpl?userid=xcentaur><B>xcentaur(357)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=xcentaur><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=9358\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-36%29%2F%28x%5E2-7x%2B6%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-36%29%2F%28x%5E2-7x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Factoring both the numerator and denominator,<BR>\n" );
document.write( "f(x)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B6%29%28x-6%29%29%2F%28%28x%2B1%29%28x%2B6%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B6%29%28x-6%29%29%2F%28%28x%2B1%29%28x%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Cancelling out the common term we are left with,<BR>\n" );
document.write( "f(x)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-6%29%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"%28x-6%29%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "To understand our constraints we just need to look at our function.<BR>\n" );
document.write( "Now lets look at the denominator,<BR>\n" );
document.write( "we see that it is (x+1).<BR>\n" );
document.write( "This means that if x is '-1',then the denominator would become (-1+1)=0.<BR>\n" );
document.write( "Now division by zero is not allowed,<BR>\n" );
document.write( "therefore value of x cannot be allowed to become as -1.<BR>\n" );
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document.write( "That is our first constraint,and as nothing else is given in the question,apparently the only one.<BR>\n" );
document.write( "So our value of x should belong to Real numbers,and x should not be equal to -1.<BR>\n" );
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document.write( "This becomes our domain:<BR>\n" );
document.write( "D={x|x belongs to R;x not equal to -1}<BR>\n" );
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document.write( "Hope this helps,<BR>\n" );
document.write( "Prabhat </SPAN>\n" );
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