document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189559>Question 189559</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Give f(x)=3x^2+4x-1 and g(x)=x+3 simplify the expression when possible<BR>\n" );
document.write( "f(-3)\r<BR>\n" );
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document.write( "(g degree sign f)(-1/2)\r<BR>\n" );
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document.write( "here are the choices: <BR>\n" );
document.write( "a. 111/4<BR>\n" );
document.write( "b.-9/4<BR>\n" );
document.write( "c.-3/2<BR>\n" );
document.write( "d.3/4\r<BR>\n" );
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document.write( "any help would be appreciated thanks so much!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142242 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=142242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g+o+f%29%28-1%2F2%29 ALIGN=MIDDLE  ALT=\"%28g+o+f%29%28-1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28f%28-1%2F2%29%29 ALIGN=MIDDLE  ALT=\"g%28f%28-1%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Expand. Note: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g+o+f%29%28x%29=g%28f%28x%29%29 ALIGN=MIDDLE  ALT=\"%28g+o+f%29%28x%29=g%28f%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So we first need to evaluate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-1%2F2%29 ALIGN=MIDDLE  ALT=\"f%28-1%2F2%29\"   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=f%28x%29=3x%5E2%2B4x-1 ALIGN=MIDDLE  ALT=\"f%28x%29=3x%5E2%2B4x-1\"   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=f%28-1%2F2%29=3%28-1%2F2%29%5E2%2B4%28-1%2F2%29-1 ALIGN=MIDDLE  ALT=\"f%28-1%2F2%29=3%28-1%2F2%29%5E2%2B4%28-1%2F2%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1%2F2 ALIGN=MIDDLE  ALT=\"x=-1%2F2\"   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=f%28-1%2F2%29=3%281%2F4%29%2B4%28-1%2F2%29-1 ALIGN=MIDDLE  ALT=\"f%28-1%2F2%29=3%281%2F4%29%2B4%28-1%2F2%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   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=f%28-1%2F2%29=3%2F4-4%2F2-1 ALIGN=MIDDLE  ALT=\"f%28-1%2F2%29=3%2F4-4%2F2-1\"   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=f%28-1%2F2%29=3%2F4-2-1 ALIGN=MIDDLE  ALT=\"f%28-1%2F2%29=3%2F4-2-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-1%2F2%29=3%2F4-8%2F4-4%2F4 ALIGN=MIDDLE  ALT=\"f%28-1%2F2%29=3%2F4-8%2F4-4%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the second and third term by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F4 ALIGN=MIDDLE  ALT=\"4%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > (to get the denominators equal)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-1%2F2%29=%283-8-4%29%2F4 ALIGN=MIDDLE  ALT=\"f%28-1%2F2%29=%283-8-4%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-1%2F2%29=-9%2F4 ALIGN=MIDDLE  ALT=\"f%28-1%2F2%29=-9%2F4\"   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%28x%29=x%2B3 ALIGN=MIDDLE  ALT=\"g%28x%29=x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Move onto the second function\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28f%28-1%2F2%29%29=-9%2F4%2B3 ALIGN=MIDDLE  ALT=\"g%28f%28-1%2F2%29%29=-9%2F4%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-1%2F2%29=-9%2F4 ALIGN=MIDDLE  ALT=\"f%28-1%2F2%29=-9%2F4\"   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%28f%28-1%2F2%29%29=-9%2F4%2B12%2F4 ALIGN=MIDDLE  ALT=\"g%28f%28-1%2F2%29%29=-9%2F4%2B12%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the second term by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F4 ALIGN=MIDDLE  ALT=\"4%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get the denominators equal.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28f%28-1%2F2%29%29=%28-9%2B12%29%2F4 ALIGN=MIDDLE  ALT=\"g%28f%28-1%2F2%29%29=%28-9%2B12%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28f%28-1%2F2%29%29=3%2F4 ALIGN=MIDDLE  ALT=\"g%28f%28-1%2F2%29%29=3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g+o+f%29%28-1%2F2%29=3%2F4 ALIGN=MIDDLE  ALT=\"%28g+o+f%29%28-1%2F2%29=3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that the answer is D) </SPAN>\n" );
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