Complete the following statements using m(x) = x² and n(x) = x – 3.
m(n(x)) = m(x – 3)
= (
x – 3
)²
n(m(x)) = n(x²)
= x² –
Because m(n(x)) is
n(m(x)), the composition of m and n is not commutative.
Therefore, function composition is not commutative.