document.write( "Question 1149406: Let f be a real-valued function such that f(x-f(y)) = f(x) - xf(y) for any real numbers x and y. If f(0)=3, determine f(2016) - f(2013). \n" ); document.write( "
Algebra.Com's Answer #770913 by Edwin McCravy(20060)\"\" \"About 
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document.write( "\"f%28x-f%28y%29%5E%22%22%29+=+f%28x%29-x%2Af%28y%29\", \"f%280%29=3\"\r\n" );
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document.write( "let x=2016 and y=0\r\n" );
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document.write( "\"f%282016-f%280%29%5E%22%22%29+=+f%282016%29-2016%2Af%280%29\"\r\n" );
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document.write( "\"f%282016-3%29+=+f%282016%29-2016%2A3\"\r\n" );
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document.write( "\"f%282013%29+=+f%282016%29-6048\"\r\n" );
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document.write( "\"6048+=+f%282016%29-f%282013%29\"\r\n" );
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document.write( "Answer = 6948\r\n" );
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document.write( "Edwin
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