document.write( "Question 1162395: Suppose that f(x) is defined ∀x ∈ (−∞,∞). Show that f(x) = e(x) + o(x), where e is an even function and o is an odd function.
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Algebra.Com's Answer #786186 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "f(x) =  + .\r\n" );
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document.write( "It is the decomposition of the function f(x) into the sum of two functions\r\n" );
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document.write( "    e(x) =   and  o(x) = .\r\n" );
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document.write( "The function e(x) is an even function;  the function o(x) is the odd function.\r\n" );
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document.write( "So, the formula (*)  gives you the required presentation.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is a standard statement from the Elementary function theory for beginner university Math students.\r
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