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 #416128 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=416128\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "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" );
document.write( "\n" );
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" );
document.write( "\n" );
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" );
document.write( "\n" );
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" );
document.write( "\n" );
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" );
document.write( "\n" );
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? \r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "If f(x) = 4x-2 and g(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+2 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then find the following g(2)=________\r<BR>\n" );
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document.write( "g(2) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E2+%2B+2 ALIGN=MIDDLE  ALT=\"2%5E2+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or 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;\" >\r<BR>\n" );
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document.write( "No. 1 is CORRECT!!\r<BR>\n" );
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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" );
document.write( "<BR>\n" );
document.write( "\n" );
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" );
document.write( "<BR>\n" );
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document.write( "No. 2 is INCORRECT!!\r<BR>\n" );
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document.write( "f(x ) = 4x - 2 and g(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+2 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2. g(f(1))<BR>\n" );
document.write( "f(1) = 4(1) - 2<BR>\n" );
document.write( "f(1) = 4 - 2<BR>\n" );
document.write( "f(1) = 2\r<BR>\n" );
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document.write( "g(f(1)) = g(2) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E2+%2B+2 ALIGN=MIDDLE  ALT=\"2%5E2+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or g(f(1)) = 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;\" >\r<BR>\n" );
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document.write( "No. 3 is INCORRECT!!\r<BR>\n" );
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document.write( "f(x) = 4x - 2 and g(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+2 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "3. f(g(x)) = f(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+2 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "f(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+2 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28x%5E2+%2B+2%29+-+2 ALIGN=MIDDLE  ALT=\"4%28x%5E2+%2B+2%29+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or f(g(x)) = f(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+2 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%284x%5E2+%2B+6%29 ALIGN=MIDDLE  ALT=\"highlight_green%284x%5E2+%2B+6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com </SPAN>\n" );
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