In general, the composition of functions is not ___.
commutative
In general, the composition of functions is not commutative.
The composition of functions is a binary operation that combines two functions by applying one after the other. In other words, if we have two functions f and g, the composition of the functions, written as f(g(x)), means we apply the function g to the input x, and then apply the function f to the output of g(x), i.e., f(g(x)) = f(g(x)).
However, in general, the order in which we perform the two functions matters, because the output of g is used as the input of f. Therefore, the composition of functions is not commutative, which means that in general f(g(x)) ≠ g(f(x)).
However, there are certain functions for which the composition is commutative, such as identity functions or certain types of symmetric functions. In general, though, we cannot assume that the composition of functions is commutative.
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