document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1038673>Question 1038673</A>: <I><SPAN STYLE=\"word-break: break-all;\"> describe the discontinuities of f(x)=x^2+x-6/x^2-5x+6\r<BR>\n" );
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document.write( "find an equivalent form for f that shows how the graph of f is related to the graph of y= 1/x\r<BR>\n" );
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document.write( "describe the relationship<BR>\n" );
document.write( "(no graph needed) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #654489 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=654489\">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=+f%28x%29=%28x%5E2%2Bx-6%29%2F%28x%5E2-5x%2B6%29+=+%28%28x%2B3+%29+%28x-2%29%29%2F%28%28x-3%29%28x-2%29%29+=+%28x%2B3%29%2F%28x-3%29+=+1%2B6%2F%28x-3%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "There is a removable discontinuity at x = 2 (a \"hole\"), while there is an infinite discontinuity at x = 3.  The graph of f(x) is obtained from y = 1/x by horizontal translation of 3 units to the right, followed by a vertical stretching by a factor of 6, and then a vertical translation by 1 unit, and finally \"puncturing\" the resulting graph at the point (2,-5). </SPAN>\n" );
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