document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=514271>Question 514271</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find (fog)(x) and (gof)(x) for the pair of functions<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28F%29%28x%29=2x%5E2-5x ALIGN=MIDDLE  ALT=\"%28F%29%28x%29=2x%5E2-5x\"   DISABLED_style= \"max-width:90%; height:auto;\" >     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g%29%28x%29=+2%28Sqrt%28x%2B12%29%29 ALIGN=MIDDLE  ALT=\"%28g%29%28x%29=+2%28Sqrt%28x%2B12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #343362 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=343362\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find (fog)(x) and (gof)(x) for the pair of functions<BR>\n" );
document.write( "(F)(x)=2x^2-5x  ;     (g)(x)= 2(Sqrt(x+12))<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "fog(x) = f[g(x)] = f[2sqrt(x+12)] <BR>\n" );
document.write( "---<BR>\n" );
document.write( "= 2[2sqrt(x+12)]^2-5[2sqrt(x+12)]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= 2[4(x+12)] - 10sqrt(x+12)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= 8x+24 - 10sqrt(x+12)<BR>\n" );
document.write( "========================================<BR>\n" );
document.write( "gof(x) = g[f(x)] = g[2x^2-5x]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= 2sqrt[2x^2-5x+12]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );