document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=80402>Question 80402</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me out with this thank u<BR>\n" );
document.write( " Identify the horizontal asymptotes, if any, of the function. <BR>\n" );
document.write( "f(x)=1/(x-5)<BR>\n" );
document.write( "  <BR>\n" );
document.write( "    x = 0  <BR>\n" );
document.write( "   y = 0  <BR>\n" );
document.write( "   x = -5  <BR>\n" );
document.write( "   y = -5  <BR>\n" );
document.write( "   none  <BR>\n" );
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document.write( "   Question 2 <BR>\n" );
document.write( "  Identify the vertical asymptotes, if any, of the function. <BR>\n" );
document.write( "  f(x)=1/(x-5)<BR>\n" );
document.write( "    x = 0  <BR>\n" );
document.write( "   y = 0  <BR>\n" );
document.write( "   x = -5  <BR>\n" );
document.write( "   y = -5  <BR>\n" );
document.write( "   none  <BR>\n" );
document.write( " \r<BR>\n" );
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document.write( "   Question 3  <BR>\n" );
document.write( "  The variable z varies jointly with the product of x and y. Use the given values to find an equation that relates the variables, given x=1, y=1/6, z=3.\r<BR>\n" );
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document.write( "                     <BR>\n" );
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document.write( "Question 4     <BR>\n" );
document.write( "  Perform the indicated operation and simplify. <BR>\n" );
document.write( "(4x^2-4x/x^2+2x-3)/(4x./x^2+x-6)<BR>\n" );
document.write( "  <BR>\n" );
document.write( "                           <BR>\n" );
document.write( " <BR>\n" );
document.write( "Question 5    <BR>\n" );
document.write( "  Perform the indicated operation and simplify. <BR>\n" );
document.write( "(4x+1/x^2-4)-(3/x-2)<BR>\n" );
document.write( "  <BR>\n" );
document.write( "                      <BR>\n" );
document.write( " <BR>\n" );
document.write( "   Question 6  <BR>\n" );
document.write( "  Perform the indicated operation and simplify. <BR>\n" );
document.write( "(5/x+1)+(x-7/x-2)<BR>\n" );
document.write( "  \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57689 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=57689\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Identify the horizontal asymptotes, if any, of the function. <BR>\n" );
document.write( "f(x)=1/(x-5)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "As x gets larger and larger f(x) gets closer and closer to 1/x = 0<BR>\n" );
document.write( "Horizontal asymptote is y=0<BR>\n" );
document.write( "============<BR>\n" );
document.write( "Question 2 <BR>\n" );
document.write( "Identify the vertical asymptotes, if any, of the function. <BR>\n" );
document.write( "f(x)=1/(x-5)<BR>\n" );
document.write( "Vertical asymptote when denominator = 0.<BR>\n" );
document.write( "Verical asymptote at x=5<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Question 3 <BR>\n" );
document.write( "The variable z varies jointly with the product of x and y. Use the given values to find an equation that relates the variables, given x=1, y=1/6, z=3. <BR>\n" );
document.write( "z=k(xy)<BR>\n" );
document.write( "3 = k(1*1/6)<BR>\n" );
document.write( "3 = k(1/6)<BR>\n" );
document.write( "k=18<BR>\n" );
document.write( "y=18(xy)<BR>\n" );
document.write( "==========\r<BR>\n" );
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document.write( "Question 4 <BR>\n" );
document.write( "Perform the indicated operation and simplify. <BR>\n" );
document.write( "(4x^2-4x/x^2+2x-3)/(4x./x^2+x-6)<BR>\n" );
document.write( "[4x(x-1)/(x+3)(x-1)] / [4x/(x+3)(x-2)]<BR>\n" );
document.write( "Cancel where you can to get:<BR>\n" );
document.write( "[4x/(x+3)] * [(x+3)(x-2)/4x]<BR>\n" );
document.write( "Cancel again to get:<BR>\n" );
document.write( "x-2<BR>\n" );
document.write( "=========<BR>\n" );
document.write( "Question 5 <BR>\n" );
document.write( "Perform the indicated operation and simplify. <BR>\n" );
document.write( "(4x+1/x^2-4)-(3/x-2)<BR>\n" );
document.write( "lcm = x^2-4<BR>\n" );
document.write( "(4x+1)/lcm -3(x+2)/lcm<BR>\n" );
document.write( "[4x+1-3x-2]/lcm<BR>\n" );
document.write( "(x-1)/(x^2-4)<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Question 6 <BR>\n" );
document.write( "Perform the indicated operation and simplify. <BR>\n" );
document.write( "(5/x+1)+(x-7/x-2)<BR>\n" );
document.write( "lcm= (x+1)(x-2)<BR>\n" );
document.write( "5(x-2)/lcm + (x-7)(x+1)/lcm<BR>\n" );
document.write( "[5x-10+x^2-6x-7]/lcm<BR>\n" );
document.write( "[x^2-x-17]/lcm<BR>\n" );
document.write( "=========<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );