document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1069269>Question 1069269</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let f:R to R and g:R to R and f(x) is defined by f(x)=2-3x and g (x) is a quadratic function.If (fog)(x)=3x^2-9x-4 find g (x)\r<BR>\n" );
document.write( "\n" );
document.write( "I got my answer x^2-2x-2=0 <BR>\n" );
document.write( "Is it correct ?<BR>\n" );
document.write( "Could you give a full solution <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #684518 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=684518\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (fog)(x) means apply g(x) first then f(x)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "f(x) = 2 - 3x<BR>\n" );
document.write( ":<BR>\n" );
document.write( "g(x) = Ax^2 + Bx + C<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(fog)(x) = 2 - 3(Ax^2 + Bx + C)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2 - 3Ax^2 - 3Bx - 3C = 3x^2 - 9x - 4<BR>\n" );
document.write( ":<BR>\n" );
document.write( "-3Ax^2 -3Bx - 3C = 3x^2 -9x - 6<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Ax^2 + Bx + C = -x^2 +3x + 2<BR>\n" );
document.write( ":<BR>\n" );
document.write( "******************<BR>\n" );
document.write( "g(x) = -x^2 +3x +2<BR>\n" );
document.write( "******************<BR>\n" );
document.write( ":<BR>\n" );
document.write( "to check the answer calculate (fog)(x)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2 - 3(-x^2 +3x +2) =<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2 + 3x^2 -9x -6 =<BR>\n" );
document.write( ":<BR>\n" );
document.write( "3x^2 - 9x -4<BR>\n" );
document.write( ":<BR>\n" );
document.write( "our answer for g(x) checks<BR>\n" );
document.write( ":<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );