document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=455285>Question 455285</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If f(x)=x^2 and g(x)=2x-1, then f(g(-2)) is\r<BR>\n" );
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document.write( "1)25<BR>\n" );
document.write( "2)15<BR>\n" );
document.write( "3)9<BR>\n" );
document.write( "4)7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #312578 by </B><A HREF=/tutors/aboutme.mpl?userid=mathmartian><B>mathmartian(7)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathmartian><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=312578\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In order to work with composite functions, remember to work from the inside out.  So let's solve for g(-2) first<BR>\n" );
document.write( "g(-2)=2(-2)-1<BR>\n" );
document.write( "g(-2)=-4-1<BR>\n" );
document.write( "g(-2)=-5<BR>\n" );
document.write( "Since g(-2)=-5, we can substitute it into f(g(-2)) to get f(-5)<BR>\n" );
document.write( "So let's solve f(-5)<BR>\n" );
document.write( "f(-5)=(-5)²<BR>\n" );
document.write( "f(-5)=25<BR>\n" );
document.write( "So the answer is 25 or solution 1.<BR>\n" );
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