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

Question

1-----.
1-----.
of functions.
#subtraction
addition

Answer 1

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)