The commutative property holds for the, Answer of functions, but not for the / Answer

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of functions.
#subtraction
addition

1 answer

The commutative property holds for the addition of functions, but not for the subtraction of functions.

In mathematical terms, if \( f(x) \) and \( g(x) \) are two functions:

  • For addition: \( f(x) + g(x) = g(x) + f(x) \) (commutative)
  • For subtraction: \( f(x) - g(x) \neq g(x) - f(x) \) in general (not commutative)