document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1006597>Question 1006597</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given g(x) = 1/(4(x-5)^2 -1). For what value of x is function g undefined?\r<BR>\n" );
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document.write( "My attempt: I take this to mean \"for what value of x does the denominator = 0.\" Assuming that's correct, I set the denominator equal to 0. I get a quadratic equation. I plug the coefficients into the quadratic formula, but I do NOT get the correct answer, which is supposed to equal 4 and 1/2.\r<BR>\n" );
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document.write( "I think I'm not doing the order of operations right in converting the denominator into the quadratic formula.\r<BR>\n" );
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document.write( "I won't belabor you with all my different attempts. Could someone show me how the math should go? The other answer choices are 5 and 1/4, 5, and 1. I did get to 5 and 1/4, but I do think that's wrong mathematically.\r<BR>\n" );
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document.write( "Thank you.    </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #622727 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=622727\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Look for the zeros of the denominator, the values of x which make the denominator 0.  This you<BR>\n" );
document.write( "can do easily because the denominator is a quadratic expression in standard form.\r<BR>\n" );
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document.write( "The solution to  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28x-5%29%5E2-1=0 ALIGN=MIDDLE  ALT=\"4%28x-5%29%5E2-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  will be the values of x for which the function g(x) is undefined.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28x-5%29%5E2=1 ALIGN=MIDDLE  ALT=\"4%28x-5%29%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%29%5E2=1%2F4 ALIGN=MIDDLE  ALT=\"%28x-5%29%5E2=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-5%29%5E2%29%5E%281%2F2%29=0%2B-+1%2F2 ALIGN=MIDDLE  ALT=\"%28%28x-5%29%5E2%29%5E%281%2F2%29=0%2B-+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-5=0%2B-+1%2F2 ALIGN=MIDDLE  ALT=\"x-5=0%2B-+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=5%2B-+1%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=5%2B-+1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%261%2F2 ALIGN=MIDDLE  ALT=\"4%261%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%261%2F2 ALIGN=MIDDLE  ALT=\"5%261%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > are the values which are UNDEFINED for x in g.<BR>\n" );
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