document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=72904>Question 72904</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if f(x)=4^x/4^x+2\r<BR>\n" );
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document.write( "compute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%2F2006%29%2Bf%282005%2F2006%29 ALIGN=MIDDLE  ALT=\"f%281%2F2006%29%2Bf%282005%2F2006%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52266 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=52266\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=4%5Ex%2F4%5Ex%2B2 ALIGN=MIDDLE  ALT=\"f%28x%29=4%5Ex%2F4%5Ex%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "I'm not sure whether you intended the problem to be as shown in the next line up.  But by the<BR>\n" );
document.write( "rules that govern the order in which math operations are done, that's the way it translates.<BR>\n" );
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document.write( "Note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5Ex%2F4%5Ex+=+1 ALIGN=MIDDLE  ALT=\"4%5Ex%2F4%5Ex+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > so f(x) reduces to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+1+%2B+2 ALIGN=MIDDLE  ALT=\"f%28x%29+=+1+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and this further reduces to <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+3 ALIGN=MIDDLE  ALT=\"f%28x%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Notice that there are no terms involving x on the right side, so whatever x is assumed to<BR>\n" );
document.write( "be the answer for f(x) is always 3.<BR>\n" );
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document.write( "Because of this <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%2F2006%29+=+3 ALIGN=MIDDLE  ALT=\"f%281%2F2006%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282005%2F2006%29+=+3 ALIGN=MIDDLE  ALT=\"f%282005%2F2006%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  So:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%2F2006%29+%2B+f%282005%2F2006%29+=+3+%2B+3+=+6 ALIGN=MIDDLE  ALT=\"f%281%2F2006%29+%2B+f%282005%2F2006%29+=+3+%2B+3+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "That was painless. I guess the teacher was just trying to make a point about how the order<BR>\n" );
document.write( "of operations is important because this problem could have much more difficult if you read<BR>\n" );
document.write( "the line equation wrong for f(x).<BR>\n" );
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document.write( "Hope this helps you see how the order of operations in the equation you provided should be <BR>\n" );
document.write( "interpreted as shown at the top of this reply. </SPAN>\n" );
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