document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64614>Question 64614</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given f(x)=1/x and g(x)=(x+1)/(x-2), find f/g(x) and state its domain. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46454 by </B><A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><B>praseenakos@yahoo.com(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><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=praseenakos@yahoo.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=46454\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> QUESTION:\r<BR>\n" );
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document.write( "Given f(x)=1/x and g(x)=(x+1)/(x-2), find f(x)/ g(x) and state its domain.\r<BR>\n" );
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document.write( "ANSWER:\r<BR>\n" );
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document.write( "f(x)/ g(x) = (1/x )/ ((x+1)/(x-2))\r<BR>\n" );
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document.write( "While dividing two rational expressions, take the reciprocal of the divisor(that is f(x)) and multiply it with the divident ( that is g(x) )\r<BR>\n" );
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document.write( "==> f(x)/ g(x) = (1/x )*  [(x-2)/(x+1)]\r<BR>\n" );
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document.write( "==>            = [ 1 * (x-2)]/[x * (x+1)]\r<BR>\n" );
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document.write( "==>            = (x-2)/( x*x - x*1)\r<BR>\n" );
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document.write( "==>   f(x)/ g(x) = ( x-2)/(x^2 -x )\r<BR>\n" );
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document.write( "OR we can write, f(x)/ g(x) = (x-2)/x(x + 1)\r<BR>\n" );
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document.write( "In the denominator, we have x(x + 1)\r<BR>\n" );
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document.write( "The values,  x = 0  and x = -1 make the denominator zero.\r<BR>\n" );
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document.write( "That means for values, x = 0, -1 the function is not defined.\r<BR>\n" );
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document.write( "So we can say that domain of f(x)/ g(x) is set of all real numbers except 0 and -1\r<BR>\n" );
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document.write( "That is Domain = R - {0, -1}\r<BR>\n" );
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document.write( "Hope you understood.\r<BR>\n" );
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document.write( "Regards.\r<BR>\n" );
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document.write( "Praseena.<BR>\n" );
document.write( " </SPAN>\n" );
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