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Math Help - regulated function

  1. #1
    Junior Member
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    regulated function

    true or false,if true give proofs, false then find exampleR[a,b] is defined
    the regulated function on [a,b])
    (a) f∉ R[a,b] implies |f|∉ R[a.b]
    (b)|f|∉
    R[a,b] implies f∉ R[a,b]
    (c)f∈R[a.b], g∉ R[a,b] imply f+g ∉R[a,b]

    i do need some helps in 3 statement cause i dont know how to begin.
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  2. #2
    MHF Contributor
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    Re: regulated function

    Hey cummings123321.

    You might want to break up the situation under g < a or g > b (for three) and show whether its possible to get f + g in [a,b].
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