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6 Sep 2020
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The basic functions, that being addition, subtraction, division and multiplication can be applied to functions. Addition is applied such that f(x) + g(x) = (f + g)(x). For example: f(x) = 2x, g(x) = x+1, (f + g)(x) = 2x + x + 1 = 3x + 1. Such being the case, {1, 2} are the common domains of f" and g": put each domain through the added functions. As (f + g)(x) = f(x) + g(x), (f + g)(1) = f(1) + g(1) = 2 + 4 = 6. Subtraction is applied such that f(x) - g(x) = (f - g)(x). For example: f(x) = 2x, g(x) = x+1, (f - g)(x) = 2x - (x + 1) = x - 1. To apply this to functions, the same process as with sum is followed: f = {<1,2>,<2,4>,<3,7>} g = {<0,2>,<1,4>,<2,6>: find intersection of the domains of f" and g".

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