Is this expansion possible $(f+g)(t)= f(t)+g(t)$?

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If the functions were polynomials, is $(f+g)(t)= f(t)+g(t)$ possible? I am trying to integrate a function of that form.

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This is precisely the definition of addition for functions. That is, if $f$ and $g$ are functions, then we define the expression $(f + g)(t)$ by the equation

$$(f + g)(t) = f(t) + g(t)$$