Js0) 0, 1s a subspace of f(. t). 14. let s be a 1onempty set and a ficld. let c(s, f) denote tlie sct ot all hunctions f e f(s, p) such that f(s) = 0 for all bu

JS0) 0, 1S a subspace of F(. T). 14. Let S be a 1onempty set and a ficld. Let C(S, F) denote tlie sct ot all hunctions f E F(S, P) such that f(s) = 0 for all but a finite mmber of elemcnts of S. Prove that C(S, F) is a subspace of F (S, P).