document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=97435>Question 97435</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLEASE help me with these 2 problems as I have completed the other 28 problems on my College Algebra worksheet, but just cannot get these that deal with INFINITY or -INFINITY.  Thanks so much.\r<BR>\n" );
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document.write( "1.  Find the domain of the given function.  (If you need to use negative infinity or infinity, enter -INFINITY or INFINITY.)<BR>\n" );
document.write( "K(v) = 4v^2 - 9/v^2 - v - 72\r<BR>\n" );
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document.write( "2.  Write the domain of the rational function in interval notation as:<BR>\n" );
document.write( "      f(x) = 1/x - 11<BR>\n" );
document.write( "(Type -INFINITY for -x or INFINITY for x, if needed.)\r<BR>\n" );
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document.write( "Thanks~ I do need this as soon as possible.  I appreciate your help sooooo much. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #70903 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=70903\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=K%28v%29=%284v%5E2+-+9%29%2F%28v%5E2+-+v+-+72%29 ALIGN=MIDDLE  ALT=\"K%28v%29=%284v%5E2+-+9%29%2F%28v%5E2+-+v+-+72%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given function \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5E2-v-72=0=0 ALIGN=MIDDLE  ALT=\"v%5E2-v-72=0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Set the denominator equal to zero\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28v-9%29%28v%2B8%29=0 ALIGN=MIDDLE  ALT=\"%28v-9%29%28v%2B8%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the left side (note: if you need help with factoring, check out this <a  rel=nofollow HREF=http://www.algebra.com/algebra/homework/playground/change-this-name4450.solver>solver</a>)\r<BR>\n" );
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document.write( "Now set each factor equal to zero:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v-9=0 ALIGN=MIDDLE  ALT=\"v-9=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%2B8=0 ALIGN=MIDDLE  ALT=\"v%2B8=0\"   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=v=9 ALIGN=MIDDLE  ALT=\"v=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=-8 ALIGN=MIDDLE  ALT=\"v=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Now solve for v in each case\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=9 ALIGN=MIDDLE  ALT=\"v=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=-8 ALIGN=MIDDLE  ALT=\"v=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > make the denominator equal to zero, that means we must exclude these values from the domain.\r<BR>\n" );
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document.write( "So our domain is: v is the set of all real numbers except <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%3C%3E-8 ALIGN=MIDDLE  ALT=\"v%3C%3E-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%3C%3E9 ALIGN=MIDDLE  ALT=\"v%3C%3E9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Which looks like this in interval notation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(-\infty, -8\right)\cup\left(-8, 9\right)\cup\left(9,\infty \right)\">\r<BR>\n" );
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document.write( "2. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=1%2F%28x-11%29 ALIGN=MIDDLE  ALT=\"f%28x%29=1%2F%28x-11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >Start with the given function\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-11=0 ALIGN=MIDDLE  ALT=\"x-11=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Set the denominator equal to zero\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0%2B11 ALIGN=MIDDLE  ALT=\"x=0%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" >Add 11 to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=11 ALIGN=MIDDLE  ALT=\"x=11\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side\r<BR>\n" );
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document.write( "So when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=11 ALIGN=MIDDLE  ALT=\"x=11\"   DISABLED_style= \"max-width:90%; height:auto;\" >, our denominator is zero. So we must exclude this value.\r<BR>\n" );
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document.write( "So our domain is: x is the set of all real numbers except <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E11 ALIGN=MIDDLE  ALT=\"x%3C%3E11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Which looks like this in interval notation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(-\infty, 11\right)\cup\left(11,\infty \right)\"> </SPAN>\n" );
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