document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=78552>Question 78552</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I want to check my answer to this problem:\r<BR>\n" );
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document.write( "Consider the functions <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=+-x+%2B+1 ALIGN=MIDDLE  ALT=\"f%28x%29=+-x+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=+-x%5E2+-+2x+%2B+1 ALIGN=MIDDLE  ALT=\"g%28x%29=+-x%5E2+-+2x+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then calculate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28-3%29%29 ALIGN=MIDDLE  ALT=\"f%28g%28-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I set it up so that Step one: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+=+%28-x%5E2+-+2x+%2B1%29 ALIGN=MIDDLE  ALT=\"f+=+%28-x%5E2+-+2x+%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step two: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+=+-x%28-x%5E2+-2x+%2B+1%29+%2B+1 ALIGN=MIDDLE  ALT=\"f+=+-x%28-x%5E2+-2x+%2B+1%29+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Is that correct?  And should my answer be further simplified?\r<BR>\n" );
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document.write( "Thank you!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56380 by </B><A HREF=/tutors/aboutme.mpl?userid=tutor_paul><B>tutor_paul(519)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutor_paul><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=tutor_paul><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=56380\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Yes, you have set up the problem correctly. However, your Step 2<BR>\n" );
document.write( "is more properly written as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29=-x%28-x%5E2-2x%2B1%29%2B1 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=-x%28-x%5E2-2x%2B1%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > rather than f= ...<BR>\n" );
document.write( "Now, you can just plug -3 in there for x and solve it.\r<BR>\n" );
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document.write( "Alternatively, you could find g(-3) first as below, then <BR>\n" );
document.write( "plug that result into the f(x) equation:\r<BR>\n" );
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document.write( "First, calculate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28-3%29 ALIGN=MIDDLE  ALT=\"g%28-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28-3%29=-%28-3%29%5E2-2%2A%28-3%29%2B1 ALIGN=MIDDLE  ALT=\"g%28-3%29=-%28-3%29%5E2-2%2A%28-3%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28-3%29=-9%2B6%2B1=-2 ALIGN=MIDDLE  ALT=\"g%28-3%29=-9%2B6%2B1=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, plug this in to the f(x) equation. The \"x\" is now the <BR>\n" );
document.write( "value you found for g(-3):\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28-3%29%29=1-%28-2%29 ALIGN=MIDDLE  ALT=\"f%28g%28-3%29%29=1-%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28-3%29%29=3 ALIGN=MIDDLE  ALT=\"f%28g%28-3%29%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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