under which conditions does the commutative property apply to compositions of f(x) and g(x)? when f(g(x))…

under which conditions does the commutative property apply to compositions of f(x) and g(x)? when f(g(x)) and g(f(x)) are inverse functions when f(g(x)) and g(f(x)) are equal for at least one value of x when f(g(x)) and g(f(x)) are equal for all values of x when f(g(x)) and g(f(x)) are not inverse functions

under which conditions does the commutative property apply to compositions of f(x) and g(x)? when f(g(x)) and g(f(x)) are inverse functions when f(g(x)) and g(f(x)) are equal for at least one value of x when f(g(x)) and g(f(x)) are equal for all values of x when f(g(x)) and g(f(x)) are not inverse functions

Answer

Brief Explanations:

The commutative property for function compositions (f(g(x))) and (g(f(x))) means that the order of composition does not matter. This is true when (f(g(x)) = g(f(x))) for all values of (x) in the domain. Just having them equal for one - value of (x) is not enough, and it has nothing to do with whether they are inverse functions or not.

Answer:

when (f(g(x))) and (g(f(x))) are equal for all values of (x)