Question: (a) Give an example of a function f R* [0, 1] such that max {f, 0} does not belong to R*[0; 1]. (b) Can

(a) Give an example of a function f ∈ R* [0, 1] such that max {f, 0} does not belong to R*[0; 1].
(b) Can you give an example of f ∈ L[0, 1] such that max{f, 0} ∉ {2 L[0, 1]?

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