document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=127634>Question 127634</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I have a few problems, and this should be easy but I'm over thinking it.<BR>\n" );
document.write( "f9x0 = x/x+t  g(x)= x^3\r<BR>\n" );
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document.write( "A) Find f(x) + g(x)<BR>\n" );
document.write( "I found a common denominator, (x+1) but I got confused after that... <BR>\n" );
document.write( "x^3 is really X^3/1 so to get the common denominator, would you multiply by x since the one is already in the denominator or just by x? and what about the denominator?\r<BR>\n" );
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document.write( "Also, I have a function:<BR>\n" );
document.write( "f(x)= cube root of (x-1)  g(x)= x^3 + 1\r<BR>\n" );
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document.write( "c) f(f(x)=? <BR>\n" );
document.write( "All you have to do is substitute for this problem, correct?<BR>\n" );
document.write( "So... f(f(x))= {cube root[cube root of (x-1)] -1} Would be correct?\r<BR>\n" );
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document.write( "If anyone could set me straight with these, I'd appreciate it! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93520 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=93520\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+x%2F%28x%2Bt%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+x%2F%28x%2Bt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=+x%5E3 ALIGN=MIDDLE  ALT=\"g%28x%29=+x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Is the denominator <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Bt ALIGN=MIDDLE  ALT=\"x%2Bt\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1 ALIGN=MIDDLE  ALT=\"x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >?  I'm going to assume a typo in the original function statement since you go on about <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1 ALIGN=MIDDLE  ALT=\"x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The two denominators are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1 ALIGN=MIDDLE  ALT=\"x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Since they have no factors in common, the common denominator is the product of the two:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%281%29=x%2B1 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%281%29=x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,\r<BR>\n" );
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document.write( "So:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2F%28x%2B1%29%29%2B%28x%5E3%29%2F1 ALIGN=MIDDLE  ALT=\"%28x%2F%28x%2B1%29%29%2B%28x%5E3%29%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B%28x%5E3%28x%2B1%29%29%29%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"%28x%2B%28x%5E3%28x%2B1%29%29%29%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E4%2Bx%5E3%2Bx%29%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"%28x%5E4%2Bx%5E3%2Bx%29%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28f%28x%29%29=+root%283%2Croot%283%2Cx-1%29%29+-1 ALIGN=MIDDLE  ALT=\"f%28f%28x%29%29=+root%283%2Croot%283%2Cx-1%29%29+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  is your answer...but you missed it by THAT much.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28f%28x%29%29=+root%283%2Croot%283%2Cx-1%29-1%29 ALIGN=MIDDLE  ALT=\"f%28f%28x%29%29=+root%283%2Croot%283%2Cx-1%29-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  See the difference?  You just had a misplaced bracket. </SPAN>\n" );
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