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Math Help - Functions

  1. #1
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    Functions

    supppose f:A->B and g:A->B,

    then

    (f+g)(x)=f(x)+g(x)

    I don't understand how they can add f and g as though they were just scalars, I thought they were transitions from a to b.

    so if I have the function f(x)=x^2 and g(x)=2x, then I know what f(x) and g(x) is, but I don't know what f and g by themselves mean.
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  2. #2
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    Quote Originally Posted by ange.tombe View Post
    supppose f:A->B and g:A->B,

    then

    (f+g)(x)=f(x)+g(x)

    I don't understand how they can add f and g as though they were just scalars, I thought they were transitions from a to b.

    so if I have the function f(x)=x^2 and g(x)=2x, then I know what f(x) and g(x) is, but I don't know what f and g by themselves mean.
    Think of (f+g)(x) as shorthand notation for f(x) + g(x), provided f(x) and g(x) have the same domain.

    So (f+g)(x) = f(x) + g(x) = x^2 + 2x.

    And that's that.
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