document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83098>Question 83098</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534494498/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find the inverse of the function f(x) = x^1/3 + 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59645 by </B><A HREF=/tutors/aboutme.mpl?userid=chitra><B>chitra(359)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chitra><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=59645\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To find the inverse of the given function. \r<BR>\n" );
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document.write( "f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E%281%2F3%29%29+%2B+2 ALIGN=MIDDLE  ALT=\"%28x%5E%281%2F3%29%29+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Let y =  f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E%281%2F3%29%29+%2B+2 ALIGN=MIDDLE  ALT=\"%28x%5E%281%2F3%29%29+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
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document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E%281%2F3%29%29+%2B+2 ALIGN=MIDDLE  ALT=\"%28x%5E%281%2F3%29%29+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
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document.write( "Replacing x and y we get: \r<BR>\n" );
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document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E%281%2F3%29%29+%2B+2 ALIGN=MIDDLE  ALT=\"%28y%5E%281%2F3%29%29+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
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document.write( "Solving for y, further we get: \r<BR>\n" );
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document.write( "x - 2  =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E%281%2F3%29%29 ALIGN=MIDDLE  ALT=\"%28y%5E%281%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Taking the cube root on both sides, we get: \r<BR>\n" );
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document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+2%29%5E3 ALIGN=MIDDLE  ALT=\"%28x+-+2%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Thus, the inverse value is: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%5E-1+%28x%29%29 ALIGN=MIDDLE  ALT=\"%28f%5E-1+%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+2%29%5E3 ALIGN=MIDDLE  ALT=\"%28x+-+2%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hence, the solution.. \r<BR>\n" );
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document.write( "Happy Calculating!!\r<BR>\n" );
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