document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1090160>Question 1090160</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! Please help me solve<BR>\n" );
document.write( "Given g(x)=x^2+2x+1<BR>\n" );
document.write( "a.3g(3)<BR>\n" );
document.write( "b.g(-2)-5<BR>\n" );
document.write( "c.g(-2)-5<BR>\n" );
document.write( "d.g(b-1)<BR>\n" );
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 #704566 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=704566\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"3\">A. The goal here is to first evaluate g(3). Then multiply both sides by 3 to compute 3*g(3).\r<BR>\n" );
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document.write( "g(x) = x^2 + 2x + 1\r<BR>\n" );
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document.write( "g(3) = (3)^2 + 2(3) + 1 ... replace every x with 3. Use PEMDAS to evaluate.\r<BR>\n" );
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document.write( "g(3) = 9 + 2(3) + 1\r<BR>\n" );
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document.write( "g(3) = 9 + 6 + 1\r<BR>\n" );
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document.write( "g(3) = 16\r<BR>\n" );
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document.write( "3*g(3) = 3*16 ... multiply both sides by 3\r<BR>\n" );
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document.write( "3*g(3) = <font color=red>48</font>\r<BR>\n" );
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document.write( "B. Start by computing g(-2). Then subtract 5 from both sides\r<BR>\n" );
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document.write( "g(x) = x^2 + 2x + 1\r<BR>\n" );
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document.write( "g(-2) = (-2)^2 + 2(-2) + 1 ... every x has been replaced with -2\r<BR>\n" );
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document.write( "g(-2) = 4 + 2(-2) + 1\r<BR>\n" );
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document.write( "g(-2) = 4 - 4 + 1\r<BR>\n" );
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document.write( "g(-2) = 1\r<BR>\n" );
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document.write( "g(-2)-5 = 1-5 ... subtract 5 from both sides\r<BR>\n" );
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document.write( "g(-2)-5 = <font color=red>-4</font>\r<BR>\n" );
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document.write( "C. This is a repeat of part B. Possibly a typo?\r<BR>\n" );
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document.write( "D. Unlike the other parts (A and B), we aren't dealing with a single number. Instead we have an algebraic expression. The rules will effectively be the same though. \r<BR>\n" );
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document.write( "g(x) = x^2 + 2x + 1\r<BR>\n" );
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document.write( "g(b-1) = (b-1)^2 + 2(b-1) + 1 ... replace every x with \"b-1\"\r<BR>\n" );
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document.write( "g(b-1) = b^2 - 2b + 1 + 2(b-1) + 1 ... FOIL\r<BR>\n" );
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document.write( "g(b-1) = b^2 - 2b + 1 + 2b - 2 + 1 ... Distribute\r<BR>\n" );
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document.write( "g(b-1) = <font color=red>b^2</font></font>  </SPAN>\n" );
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