Question

Composition of the functions is ____ commutative.

Answer 1

Answer:

See below.

Step-by-step explanation:

Composition of the functions is sometimes commutative.

Under certain circumstances, they can be the same. However, most of the time, they are not commutative.

For instance, if we have f(x)=x^2 and g(x)=x^3, then:

$f(g(x))=(x^3)^2=x^6\text{ and}\\g(f(x))=(x^2)^3=x^6$

Most of the time, however, this won't work.

Edit: Added an example.

Answer 2

Answer: Sometimes

Step-by-step explanation: