document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=762704>Question 762704</A>: <I><SPAN STYLE=\"word-break: break-all;\"> given f =x-4 and g=x^2+3 , show that gf(x) = x^2- 8x + 19<BR>\n" );
document.write( "hence find the values of x for which gf (x) = 4  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #464136 by </B><A HREF=/tutors/aboutme.mpl?userid=ramkikk66><B>ramkikk66(644)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ramkikk66><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=464136\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = x - 4<BR>\n" );
document.write( "g(x) = x^2 + 3\r<BR>\n" );
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document.write( "g(f(x)) = g(x - 4) = (x-4)^2 + 3 = x^2 - 8x + 16 + 3 = x^2 - 8x + 19\r<BR>\n" );
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document.write( "g(f(x)) = 4 means that x^2 - 8x + 19 = 4 or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+8%2Ax+%2B+15+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+8%2Ax+%2B+15+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using factorizing to solve the quadratic\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+5%29%2A%28x+-+3%29+=+0 ALIGN=MIDDLE  ALT=\"%28x+-+5%29%2A%28x+-+3%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x = 5 or x = 3 are the possible solutions.\r<BR>\n" );
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document.write( ":) </SPAN>\n" );
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