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Math Help - Please urgent help for project

  1. #1
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    Smile Please urgent help for project

    Problem 3

    a) Let G(x) = ((1/(a^x) - 1) + (1/2)) F(x) where a is positive real number equal to 1 and F(x) is an odd function. Determine G(x) is even, odd or neither.

    b) Determine whether M(x) = ((-x/(2^x)-1) - (x/2)) is an even function, odd function or neither.


    THANK YOU VERY MUCH I REALLY APPRECIATE IT!!
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  2. #2
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    Quote Originally Posted by rlarach View Post
    Problem 3

    a) Let G(x) = ((1/(a^x) - 1) + (1/2)) F(x) where a is positive real number equal to 1 and F(x) is an odd function. Determine G(x) is even, odd or neither.

    b) Determine whether M(x) = ((-x/(2^x)-1) - (x/2)) is an even function, odd function or neither.


    THANK YOU VERY MUCH I REALLY APPRECIATE IT!!
    A function G(x) is even if G(-x) = G(x).
    A function G(x) is odd if G(-x) = -G(x).
    Otherwise G(x) is neither even or odd.

    I suggest you apply these definitions and then show your work if you're still stuck.
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