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Math Help - Subgroup

  1. #1
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    Subgroup

    Hi,

    F is the group of numerical functions.
    E={ f_{(a;b)}\in F \ \ /\forall x \in \mathbb{R}/ \ \ f_{(a;b)}(x)=(ax+b)e^{2x} }
    I must show that (H,+) is a subgroup, how to do it please??
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by lehder View Post
    Hi,

    F is the group of numerical functions.
    E={ f_{(a;b)}\in F \ \ /\forall x \in \mathbb{R}/ \ \ f_{(a;b)}(x)=(ax+b)e^{2x} }
    I must show that (H,+) is a subgroup, how to do it please??
    I don't understand the question.
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  3. #3
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    Quote Originally Posted by lehder View Post
    Hi,

    F is the group of numerical functions.

    First "F" you write . Apparently you mean the group of all real functions.

    E={ f_{(a;b)}\in F \ \ /\forall x \in \mathbb{R}/ \ \ f_{(a;b)}(x)=(ax+b)e^{2x} }


    Now you write "E" without curly parentheses \{,\}, but you apparently meant E:=\{f_{(a,b)}\in F\;;\;\forall\,x\in\mathbb{R}\,,\,\,f_{(a,b)}(x):=  (ax+b)e^{2x}\}


    I must show that (H,+) is a subgroup, how to do it please??
    Now you talk about some "H" (?), which I suppose should be "E", but you don't tell us how the sum "+" is defined there...

    Please do check the way you wrote the question and be clearer.

    Tonio
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