Respuesta :
Answer:
x-3 or third option
3 or second option
is not equal to or first option
Step-by-step explanation:
m(n(x)) = ( x - 3)² , n(m(x)) = x² - 3 and m(n(x)) is not equals to n(m(x)).Function composition is not commutative.
What is commutative function?
" Function is said to be commutative if the order of the function does not change the resultant."
According to the question,
Given,
m(x) = x²
n(x) = x - 3
Therefore,
m(n(x)) = m(x- 3)
= (x - 3)² _____(1)
n(m(x)) =n(x²)
= x² -3 _____(2)
For function composition to be commutative
m(n(x)) should be equals to n(m(x))
But by comparing (1) and (2) we get,
(x - 3)² ≠ x² -3
⇒ m(n(x)) ≠ n(m(x))
Hence, m(n(x)) = ( x - 3)² , n(m(x)) = x² - 3 and m(n(x)) is not equals to n(m(x)).Function composition is not commutative.
Learn more about commutative function here
https://brainly.com/question/17299449
#SPJ2
