document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=383534>Question 383534</A>: <I><SPAN STYLE=\"word-break: break-all;\">  y = x^2 / (x2-16)<BR>\n" );
document.write( "I could use some help finding the domain and range. Any help would be greatly appreciated!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #271603 by </B><A HREF=/tutors/aboutme.mpl?userid=Jk22><B>Jk22(389)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Jk22><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=Jk22><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=271603\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+x%5E2+%2F+%28x%5E2-16%29 ALIGN=MIDDLE  ALT=\"+y+=+x%5E2+%2F+%28x%5E2-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Domain : possible value for x. If x=+4 or -4, there is a division by zero, all other value are possible, hence Dom(y(x))=R-{+4,-4}\r<BR>\n" );
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document.write( "Range : all values that y reaches, seek for the inverse : <BR>\n" );
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document.write( "y*x^2-16y = x^2<BR>\n" );
document.write( "x^2(1-y)=-16y<BR>\n" );
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document.write( "x^2=16y/(y-1)<BR>\n" );
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document.write( "thus 1 is not allowed for y, more over y/(y-1) has to be positive : <BR>\n" );
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document.write( "cases : y>0 and y-1>0<=>y>1, <BR>\n" );
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document.write( "y<0 and y-1<0<=>y<1, hence y<0<BR>\n" );
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document.write( "so the range of y is : Range(y(x))=]-oo;0]U[1,+oo[\r<BR>\n" );
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document.write( "Graph : \r<BR>\n" );
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