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Order, in mathematics, matters. Take two functions, f and g, and compose them, thus applying them to an argument as either f(g(x)) or g(f(x)). In general, it cannot be assumed that f(g(x)) = g(f(x)). If f(x) = 2x and g(x) = x 2, for example, then f(g(3)) = 18 but g(f(3)) = 36. The order […]