document.write( "Question 1015396: If y(x) = x / 1-x , show that 1/2 [y(x) + y(-x)] = y(x^2) \n" ); document.write( "

Algebra.Com's Answer #631758 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "If y(x) = x / 1-x , show that 1/2 [y(x) + y(-x)] = y(x^2)
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document.write( "y(x) = ,\r\n" );
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document.write( "y(-x) =  = .\r\n" );
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document.write( "Therefore, \r\n" );
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document.write( "y(x) + y(-x) =  -  =    (now write it with the common denominator, which is (1-x)*(1+x) )\r\n" );
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document.write( "=  -  = \r\n" );
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document.write( "=  = .\r\n" );
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document.write( "Therefore, \r\n" );
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document.write( ". = .\r\n" );
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document.write( "It is what has to be proved.\r\n" );
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