document.write( "Question 753763: How do you find inverse of this function:
\n" ); document.write( "y = x^5 + 5x^3\r
\n" ); document.write( "\n" ); document.write( "I know I have to swap x for y.\r
\n" ); document.write( "\n" ); document.write( "x = y^5 +5y^3 then solve for y but I forgot the next steps.\r
\n" ); document.write( "\n" ); document.write( "x = y^3(y^2 +5) factor but I still dont remember how to get to the point where I can isolate y. \r
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Algebra.Com's Answer #458589 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "It has been proved by Ruffini (1799) and Abel (1826) \r\n" );
document.write( "that the solution of the general quintic (5th degree\r\n" );
document.write( "equation cannot be written as a finite formula.  So \r\n" );
document.write( "there are no formulas for solving 5th degree equations.\r\n" );
document.write( "Their solutions can only be approximated.  It is not \r\n" );
document.write( "fair to ask anyone to find the inverse of a 5th degree \r\n" );
document.write( "equation.  However you can sketch the inverse even \r\n" );
document.write( "though you cannot find its equation.\r\n" );
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document.write( "Here is the graph of  y = x^5 + 5x^3, from -2 to 2 \r\n" );
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document.write( "Even though you can't get an equation of the inverse,\r\n" );
document.write( "you can sketch the inverse.\r\n" );
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document.write( "Draw the line y = x, called \"the identity line\". I'll draw it dotted in \r\n" );
document.write( "blue:\r\n" );
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document.write( "Now by freehand draw that curve's reflection in the indentity line,\r\n" );
document.write( "I'll draw it in green.\r\n" );
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document.write( "So even though there is no way to find an equation for the inverse\r\n" );
document.write( "function, you can by freehand sketch the graph of the inverse function\r\n" );
document.write( "by drawing its reflection in the line y=x.\r\n" );
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document.write( "Edwin

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