document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176548>Question 176548</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the following function to answer all parts of the question:<BR>\n" );
document.write( "g(x) = 3x+1 / x-1\r<BR>\n" );
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document.write( "A.)Evaluate the function at the given values. Show complete work. ANswers must be simplified completely.<BR>\n" );
document.write( "i.) g(0)\r<BR>\n" );
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document.write( "ii.) g(2/3)\r<BR>\n" );
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document.write( "B.) Find x if g(x)=2<BR>\n" );
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document.write( "I am getting these answers and they are not adding up:\r<BR>\n" );
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document.write( "A)<BR>\n" );
document.write( "i.) -1<BR>\n" );
document.write( "ii.)-9<BR>\n" );
document.write( "B) 2\r<BR>\n" );
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document.write( "Thank you for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #131634 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=131634\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Is the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=%283x%2B1%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"g%28x%29=%283x%2B1%29%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ???\r<BR>\n" );
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document.write( "A)\r<BR>\n" );
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document.write( "i)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=%283x%2B1%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"g%28x%29=%283x%2B1%29%2F%28x-1%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=g%280%29=%283%280%29%2B1%29%2F%280-1%29 ALIGN=MIDDLE  ALT=\"g%280%29=%283%280%29%2B1%29%2F%280-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=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=g%280%29=%280%2B1%29%2F%280-1%29 ALIGN=MIDDLE  ALT=\"g%280%29=%280%2B1%29%2F%280-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%280%29=%281%29%2F%28-1%29 ALIGN=MIDDLE  ALT=\"g%280%29=%281%29%2F%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%280%29=-1 ALIGN=MIDDLE  ALT=\"g%280%29=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce. So you are correct.\r<BR>\n" );
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document.write( "ii)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=%283x%2B1%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"g%28x%29=%283x%2B1%29%2F%28x-1%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=g%282%2F3%29=%283%282%2F3%29%2B1%29%2F%282%2F3-1%29 ALIGN=MIDDLE  ALT=\"g%282%2F3%29=%283%282%2F3%29%2B1%29%2F%282%2F3-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=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=g%282%2F3%29=%282%2B1%29%2F%282%2F3-1%29 ALIGN=MIDDLE  ALT=\"g%282%2F3%29=%282%2B1%29%2F%282%2F3-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%282%2F3%29=%283%29%2F%28-1%2F3%29 ALIGN=MIDDLE  ALT=\"g%282%2F3%29=%283%29%2F%28-1%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%282%2F3%29=%283%29%28-3%2F1%29 ALIGN=MIDDLE  ALT=\"g%282%2F3%29=%283%29%28-3%2F1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Flip the second fraction and multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%282%2F3%29=-9 ALIGN=MIDDLE  ALT=\"g%282%2F3%29=-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply and simplify. Again, you are correct.\r<BR>\n" );
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document.write( "B)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=%283x%2B1%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"g%28x%29=%283x%2B1%29%2F%28x-1%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=2=%283x%2B1%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"2=%283x%2B1%29%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=2 ALIGN=MIDDLE  ALT=\"g%28x%29=2\"   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=2%28x-1%29=3x%2B1 ALIGN=MIDDLE  ALT=\"2%28x-1%29=3x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1 ALIGN=MIDDLE  ALT=\"x-1\"   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=2x-2=3x%2B1 ALIGN=MIDDLE  ALT=\"2x-2=3x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=3x%2B1%2B2 ALIGN=MIDDLE  ALT=\"2x=3x%2B1%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-3x=1%2B2 ALIGN=MIDDLE  ALT=\"2x-3x=1%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x ALIGN=MIDDLE  ALT=\"3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x=1%2B2 ALIGN=MIDDLE  ALT=\"-x=1%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x=3 ALIGN=MIDDLE  ALT=\"-x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%283%29%2F%28-1%29 ALIGN=MIDDLE  ALT=\"x=%283%29%2F%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   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=x=-3 ALIGN=MIDDLE  ALT=\"x=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-3 ALIGN=MIDDLE  ALT=\"x=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "In other words, when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-3 ALIGN=MIDDLE  ALT=\"x=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=2 ALIGN=MIDDLE  ALT=\"g%28x%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28-3%29=2 ALIGN=MIDDLE  ALT=\"g%28-3%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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