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Unformatted text preview: ) f ( x ) By (a) with a function f and scaler + = f ( x ) + f ( x ) By distributive rule for scalars =( f )( x ) + ( f )( x ) By (a) with functions f and scalars and =( f + f )( x ) By (b) with functions f and f Since (( + ) f )( x ) = ( f + f )( x ) for all x [ a,b ], they must be the same function. So we have ( + ) f = f + f . / 1...
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This note was uploaded on 04/01/2008 for the course MATH 309 taught by Professor Samiabdul during the Spring '08 term at Michigan State University.
 Spring '08
 samiabdul
 Linear Algebra, Algebra

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