Respuesta :

Answer:

Composition of functions is sometimes commutative.

Step-by-step explanation:

Composition of the functions is sometimes commutative.

Under certain circumstances, they can be commutative. However, this is not guaranteed.

Consider, for example, the functions:

[tex]\displaystyle f(x) = x^2 \text{ and } g(x) = x^3[/tex]

Composition of the two functions yields:

[tex]f(g(x))=(x^3)^2=x^6 \\ \\ \text{ and} \\ \\ g(f(x))=(x^2)^3=x^6[/tex]

In this case, the composition is commutative.

Answer: Sometimes

Step-by-step explanation:

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