document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=236145>Question 236145</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Evaluate the function at the given value of the independent variable and simplify. f(x) = 3x-1 \r<BR>\n" );
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document.write( "f(x)-f(1)<BR>\n" );
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document.write( "  x-1\r<BR>\n" );
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document.write( "I started working this problem but I think I'm doing it the wrong way. I'm not sure if I'm suppose to substitue the 3x-1 in each place of f or x? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #173871 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=173871\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your equation is f(x) = (3x-1)\r<BR>\n" );
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document.write( "They want you to evaluate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%28x%29-f%281%29%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"%28f%28x%29-f%281%29%29%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If so, this is how you do it.\r<BR>\n" );
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document.write( "Let g(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%28x%29-f%281%29%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"%28f%28x%29-f%281%29%29%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You replace f(x) with (3x-1) because that's what f(x) is equal to.\r<BR>\n" );
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document.write( "You replace x with 1 in f(x) = 3x-1 to get f(1) = 3*1-1 = 2\r<BR>\n" );
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document.write( "You are left with:\r<BR>\n" );
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document.write( "g(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%28x%29-f%281%29%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"%28f%28x%29-f%281%29%29%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283x-1%29+-+2%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"%28%283x-1%29+-+2%29%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This becomes:\r<BR>\n" );
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document.write( "g(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x-3%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"%283x-3%29%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can factor the numerator to get\r<BR>\n" );
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document.write( "g(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x-3%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"%283x-3%29%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2A%28x-1%29%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"%283%2A%28x-1%29%29%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This becomes:\r<BR>\n" );
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document.write( "g(x) = 3\r<BR>\n" );
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document.write( " </SPAN>\n" );
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