document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=669151>Question 669151</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,<BR>\n" );
document.write( "I have been trying for hours to help my son with his Algebra I homework and I am stuck on one problem.  The problem is this:<BR>\n" );
document.write( "If f(x)=4x-2 and g(x)=x^2+2, then find the following g(2)=________\r<BR>\n" );
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document.write( "This is what I have done thus far:<BR>\n" );
document.write( "1. f(g(1))<BR>\n" );
document.write( "g(1)=1^2+2 (1)<BR>\n" );
document.write( "g(1)=3\r<BR>\n" );
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document.write( "f(g(1))=f(3)<BR>\n" );
document.write( "f(3)=4(3)-2<BR>\n" );
document.write( "f(3)=12-2<BR>\n" );
document.write( "f(g(1))=10\r<BR>\n" );
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document.write( "2. g(f(1))<BR>\n" );
document.write( "f(1)=4(10)-2<BR>\n" );
document.write( "f(1)=40-2<BR>\n" );
document.write( "f(1)=8\r<BR>\n" );
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document.write( "g(f(1)=g(38)<BR>\n" );
document.write( "g(38)=38^2-2(1)<BR>\n" );
document.write( "g(38)=76-2<BR>\n" );
document.write( "g(38)=74\r<BR>\n" );
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document.write( "3. f(g(x))=f(x^2+2x)<BR>\n" );
document.write( "    f(x^2+2)=4(x^2+2x)-2=8x^2+8x-2<BR>\n" );
document.write( "Is this correct?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #416124 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=416124\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Starting with<BR>\n" );
document.write( "f(x) = 4x -2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+x%5E2+%2B2 ALIGN=MIDDLE  ALT=\"g%28x%29+=+x%5E2+%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "Find g(2)<BR>\n" );
document.write( "(g(2)) = 2^2 + 2<BR>\n" );
document.write( "= 4 + 2<BR>\n" );
document.write( "g(2)= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%286%29 ALIGN=MIDDLE  ALT=\"highlight_green%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "EDITED TO ADDRESS OTHER QUESTIONS<BR>\n" );
document.write( "f(g(1)) = <BR>\n" );
document.write( "start with g(1)<BR>\n" );
document.write( "g(1) = 1^2 + 2 <BR>\n" );
document.write( "= 3<BR>\n" );
document.write( "...<BR>\n" );
document.write( "f(g(1) = 4(___) - 2<BR>\n" );
document.write( "=4(3) - 2<BR>\n" );
document.write( "= 12 - 2<BR>\n" );
document.write( "f(g(1))= 10<BR>\n" );
document.write( "...<BR>\n" );
document.write( "g(f(1)) = (___)^2 + 2<BR>\n" );
document.write( "start with f(1)<BR>\n" );
document.write( "f(1) = 4(1) - 2<BR>\n" );
document.write( "= 4 - 2<BR>\n" );
document.write( "= 2<BR>\n" );
document.write( "...<BR>\n" );
document.write( "g(f(1)) = (___)^2 + 2<BR>\n" );
document.write( "= 2^2 + 2<BR>\n" );
document.write( "= 4 + 2<BR>\n" );
document.write( "g(f(1)) = 6<BR>\n" );
document.write( "...<BR>\n" );
document.write( "f(g(x)) = 4(____) - 2<BR>\n" );
document.write( "insert <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28g%28x%29%29 ALIGN=MIDDLE  ALT=\"highlight%28g%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28highlight%28x%5E2%2B2%29%29+-+2 ALIGN=MIDDLE  ALT=\"4%28highlight%28x%5E2%2B2%29%29+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Distribute the 4<BR>\n" );
document.write( "=4x^2 + 8 - 2<BR>\n" );
document.write( "f(g(x))=4x^2 + 6<BR>\n" );
document.write( ".....<BR>\n" );
document.write( "Delighted to help.<BR>\n" );
document.write( "-Reading Boosters<BR>\n" );
document.write( "Wanting for others what we want for ourselves.<BR>\n" );
document.write( "www.MyHomeworkHelpers.com </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );