document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=976389>Question 976389</A>: <I><SPAN STYLE=\"word-break: break-all;\"> f(x)5x-7 and g(x)=5-x^2<BR>\n" );
document.write( "a f(g(-1))<BR>\n" );
document.write( "b g(f(-1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #597968 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=597968\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll do part a) to get you started\r<BR>\n" );
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document.write( "f(x) = 5x-7\r<BR>\n" );
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document.write( "f(<font color=\"red\">g(x)</font>) = 5(<font color=\"red\">g(x)</font>)-7 ... replace every x with g(x)\r<BR>\n" );
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document.write( "f(<font color=\"red\">g(x)</font>) = 5(<font color=\"red\">5-x^2</font>)-7 ... replace g(x) on the right side with 5-x^2 (valid because g(x) = 5-x^2)\r<BR>\n" );
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document.write( "f(g(x)) = 5(5-x^2)-7\r<BR>\n" );
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document.write( "f(g(x)) = 25-5x^2-7\r<BR>\n" );
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document.write( "f(g(x)) = -5x^2+18\r<BR>\n" );
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document.write( "Now plug in x = -1\r<BR>\n" );
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document.write( "f(g(x)) = -5x^2+18\r<BR>\n" );
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document.write( "f(g(-1)) = -5(-1)^2+18 ... replace every x with -1\r<BR>\n" );
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document.write( "f(g(-1)) = -5(1)+18\r<BR>\n" );
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document.write( "f(g(-1)) = -5+18\r<BR>\n" );
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document.write( "f(g(-1)) = 13\r<BR>\n" );
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document.write( "I leave part b) for you. </SPAN>\n" );
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