document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=983509>Question 983509</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I really need some help on this problem I was assigned. It's pretty challenging.. Thank you in advance! \r<BR>\n" );
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document.write( "You have a $50 coupon from the <BR>\n" );
document.write( "manufacturer good for the purchase of a cell phone. The store <BR>\n" );
document.write( "where you are purchasing your cell phone is offering a 20% <BR>\n" );
document.write( "discount on all cell phones. Let x represent the regular price of <BR>\n" );
document.write( "the cell phone. \r<BR>\n" );
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document.write( "(a) Suppose only the 20% discount applies. Find a function f <BR>\n" );
document.write( "that models the purchase price of the cell phone as a function of the regular price x\r<BR>\n" );
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document.write( "(b) Suppose only the $50 coupon applies. Find a function g <BR>\n" );
document.write( "that models the purchase price of the cell phone as a function <BR>\n" );
document.write( "of the sticker price x. \r<BR>\n" );
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document.write( "(c) If you can use the coupon and the discount, then the purchase <BR>\n" );
document.write( "price is either (f o g)x or (g o f)x , depending on the <BR>\n" );
document.write( "order in which they are applied to the price. Find both (f o g)x and (g o f)x . Which composition gives the lower price? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #604340 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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/cgi-bin/show-face.mpl?user=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=604340\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = regular price of the cell phone. \r<BR>\n" );
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document.write( "(a) Suppose only the 20% discount applies. <BR>\n" );
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document.write( "f(x)=0.8x<BR>\n" );
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document.write( "(b) Suppose only the $50 coupon applies.  <BR>\n" );
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document.write( "g(x)=x-$50<BR>\n" );
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document.write( "(c) If you can use the coupon and the discount, then the purchase <BR>\n" );
document.write( "price is either (f o g)x or (g o f)x.  Which composition gives the lower price? <BR>\n" );
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document.write( "f(g(x))=0.8(x-$50)<BR>\n" );
document.write( "g(f(x))=0.8x-$50 This is the lower price. </SPAN>\n" );
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