Let V be the set of functions f:R→R. For any two functions f, g in V, define the sum f+g to be the function given by (f+g) (x) = f (x) + g (x) for all real numbers x. For any real number c and any function f in V, define scalar multiplication cf by (cf) (x) = cf (x) for all real numbers x.
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Home » Mathematics » Let V be the set of functions f:R→R. For any two functions f, g in V, define the sum f+g to be the function given by (f+g) (x) = f (x) + g (x) for all real numbers x.