document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=606204>Question 606204</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If f(x)=2x^2 +5   and g(x)=sqrt(x-5)  <BR>\n" );
document.write( "then find the domain and range of (fog)x? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #381944 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=381944\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If f(x)=2x^2 +5 and g(x)=sqrt(x-5) <BR>\n" );
document.write( "then find the domain and range of (fog)x?<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "fog(x) = f[g(x)] = f[sqrt(x-5)]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "= 2(sqrt(x-5))^2 + 5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= 2(x-5) + 5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= 2x-5<BR>\n" );
document.write( "================<BR>\n" );
document.write( "Domain: Since g(x) = sqrt(x-5), domain is \"All Real Numbers >= 5\"<BR>\n" );
document.write( "Then range of g(x) = \"All Real Numbers >= 0\":<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "So Ddomain of fog(x) = \"All Real Numbers >= 0:<BR>\n" );
document.write( "Range of fog(x): Since f(x) = 2x^2+5, range is \"All Real Numbers <BR>\n" );
document.write( ">= 5\".<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" );