document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=257470>Question 257470</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A math test has a bonus question. The directions simply state that if you answer the question correctly you will recieve 5 bonus points and your test grade will be increased by 7% of your score. Let x = test score before answering the bonus question.\r<BR>\n" );
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document.write( "a) write a function, f(x) to represent just the 5 bonus points<BR>\n" );
document.write( "b) Write a function, g(X) to represent just the precent of increase.<BR>\n" );
document.write( "c) Explain the meaning of f(g(x))<BR>\n" );
document.write( "d) Explain the meaning of g(f(x))<BR>\n" );
document.write( "e) Does f(g(x)) = g(f(x)) in the problem? Explain\r<BR>\n" );
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document.write( "**** Please help me answer all these questions, i really dont understand. Please and thank you!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #189393 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=189393\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X is the number of points.<BR>\n" );
document.write( "First we have a proportion<BR>\n" );
document.write( "5/N = 7/100<BR>\n" );
document.write( "Solving, we get n ~ 71.42 or ~ 71. <BR>\n" );
document.write( "There are 71 points on this test.<BR>\n" );
document.write( "a) write a function, f(x) to represent just the 5 bonus points<BR>\n" );
document.write( "ANSWER:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+x+%2B+5 ALIGN=MIDDLE  ALT=\"f%28x%29+=+x+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b) Write a function, g(x) to represent just the precent of increase.<BR>\n" );
document.write( "ANSWER:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+100%2A%28x%2B5%29%2F71 ALIGN=MIDDLE  ALT=\"g%28x%29+=+100%2A%28x%2B5%29%2F71\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c) Explain the meaning of f(g(x))<BR>\n" );
document.write( "ANSWER: The g(x) is a percentage which you then add to a number of points.<BR>\n" );
document.write( "d) Explain the meaning of g(f(x))<BR>\n" );
document.write( "ANSWER: f(x) is a raw score that you are converting into percentage<BR>\n" );
document.write( "e) Does f(g(x)) = g(f(x)) in the problem? Explain <BR>\n" );
document.write( "They are not the same.<BR>\n" );
document.write( "f(g(x)) = (100x+855)/71<BR>\n" );
document.write( "g(f(x)) = (100x + 1000)/71 </SPAN>\n" );
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