document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=296783>Question 296783</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the functions f(x)=2x^2-3x and g(x)=4x-1, find f[g(x)]. <BR>\n" );
document.write( "Could anybody please tell me the formula(s) I should use to try and solve this? I missed class that week and can't find an explanation in the book. I have a test tomorrow that will cover this type of problem, but I don't know the steps. Any help is appreciated!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #213791 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=213791\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=2x%5E2-3x ALIGN=MIDDLE  ALT=\"f%28x%29=2x%5E2-3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the first function.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29=2%284x-1%29%5E2-3%284x-1%29 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=2%284x-1%29%5E2-3%284x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > On the left side, replace 'x' with 'g(x)'. On the right side, replace each 'x' with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-1 ALIGN=MIDDLE  ALT=\"4x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Note: we replaced 'x' with 'g(x)' which in this case is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=4x-1 ALIGN=MIDDLE  ALT=\"g%28x%29=4x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29=2%2816x%5E2-8x%2B1%29-3%284x-1%29 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=2%2816x%5E2-8x%2B1%29-3%284x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29=32x%5E2-16x%2B2-12x%2B3 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=32x%5E2-16x%2B2-12x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29=32x%5E2-28x%2B5 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=32x%5E2-28x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29=32x%5E2-28x%2B5 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=32x%5E2-28x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );