document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=231790>Question 231790</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find (a) (f o g)(x) and the domain of f o g and (b) (g o f)(x) and the domain of g o f.<BR>\n" );
document.write( "the Square root symbol is across the whole equation if its not showing on the problem.<BR>\n" );
document.write( "f(x)= &#8730;25-x^2, g(x)=&#8730;x-3\r<BR>\n" );
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document.write( "I know how to do f o g and g o f, but I'm not sure how to work it out with square roots,<BR>\n" );
document.write( "Thanks for your time. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #171464 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=171464\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Find <BR>\n" );
document.write( "(a) (f o g)(x) and the domain of f o g <BR>\n" );
document.write( "fog(x) = f[sqrt(x-3)] = [25 -(x-3)] = [28-x]<BR>\n" );
document.write( "Domain: All Real Numbers >= 3.<BR>\n" );
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document.write( "  <BR>\n" );
document.write( "(b) (g o f)(x) and the domain of g o f.<BR>\n" );
document.write( "gof(x) = g[sqrt(25-x^2] = sqrt[sqrt(25-x^2)-3]<BR>\n" );
document.write( "Domain: All Real Numbers x where -5<= x <= 5<BR>\n" );
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document.write( "the Square root symbol is across the whole equation if its not showing on the problem.<BR>\n" );
document.write( "f(x)= sqrt(25-x^2), g(x)= sqrt(x-3)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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