document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=443313>Question 443313</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two functions, f(x) and g(x) such that (fog)(x)=h(x) or (gof)(x)=h(x) where h(x)= sq. rt. of x squared minus 2 over x squared plus 3, and verify. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305791 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=305791\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find two functions, f(x) and g(x) such that (fog)(x)=h(x) or (gof)(x)=h(x) where h(x)= sq. rt. of x squared minus 2 over x squared plus 3, and verify.<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "fog(x) = sqrt[(x^2-2)/(x^2+3)]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Let g(x) = (x^2-2)/(x^2+3)<BR>\n" );
document.write( "Let f(x) = sqrt(x)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Then fog(x) = f[g(x)] = f[(x^2-2)/(x^2+3)] = sqrt[(x^2-2)/(x^2+3)]<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );