document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=342375>Question 342375</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A size 36 shoe in France is size 3.5 in England.  A function that converts shoe sizes in France to those in England is g(x)=3x-94 over 4 fraction.  A size 6 shoe in the United States is size 3.5 in England.  A function that converts shoe sizes in England to those in the United States is f(x)=x+5 over 2 the 5/2 is a fraction.\r<BR>\n" );
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document.write( "a. Use composition of functions to find a function that converts shoe sizes in France to those in the United States.  Simplify the function.\r<BR>\n" );
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document.write( "b. Determine the shoe size in the United States for a size 38 shoe in France.  <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #245044 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=245044\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A size 36 shoe in France is size 3.5 in England. <BR>\n" );
document.write( "A function that converts shoe sizes in France to those in England is g(x)=3x-94 over 4 fraction.<BR>\n" );
document.write( "g(x) = (3x-94)/4<BR>\n" );
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document.write( "A size 6 shoe in the United States is size 3.5 in England. <BR>\n" );
document.write( "A function that converts shoe sizes in England to those in the United States is f(x)=x+5 over 2 the 5/2 is a fraction.<BR>\n" );
document.write( "f(x) = x + (5/2)<BR>\n" );
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document.write( "a. Use composition of functions to find a function that converts shoe sizes in France to those in the United States. Simplify the function.<BR>\n" );
document.write( "f(g(x))= f[(3x-94)/4] = (3x-94)/4+(5/2) = [(3x-94)/4]+(10/4) = (3x-84)/4<BR>\n" );
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document.write( "b. Determine the shoe size in the United States for a size 38 shoe in France. <BR>\n" );
document.write( "f(g(38)) = (3*38-84)/4 = 7.5<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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