document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=929358>Question 929358</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let f (x) = (1/(x^2 sqrt(49 + x^2))\r<BR>\n" );
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document.write( "and g(t) = 7 tan (t)<BR>\n" );
document.write( "for 0 < t < pi/2<BR>\n" );
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document.write( "Find (f º g)(t) and simplify so that there are no radicals in the function. Write your answer in terms of sin(t) and cos(t).\r<BR>\n" );
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document.write( "(f º g)(t) =\r<BR>\n" );
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document.write( "THANKS!<BR>\n" );
document.write( "Please explain<BR>\n" );
document.write( "THANKS! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #565018 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=565018\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let f (x) = (1/(x^2 sqrt(49 + x^2)) <BR>\n" );
document.write( "and g(t) = 7 tan (t) for 0 < t < pi/2\r<BR>\n" );
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document.write( " Find (f º g)(t) and simplify so that there are no radicals in the function. Write your answer in terms of sin(t) and cos(t).<BR>\n" );
document.write( " (f º g)(t) = f[g(t)] = f[7*tan(t)]<BR>\n" );
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document.write( "= 1/[(7tan(t))^2*sqrt(49 + (7*tan(t))^2)]<BR>\n" );
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document.write( "= 1/[49tan^2(t)*sqrt(49 + 49tan^2(t)]<BR>\n" );
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document.write( "= 1/[49tan^2(t)*7sqrt(1+tan^2(t)]<BR>\n" );
document.write( "= 1/[49tan^2(t)*7sec(t)]<BR>\n" );
document.write( "= 1/[343 *sin^2(t)/cos^3(t)]<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( " </SPAN>\n" );
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