Complete the following statements using m(x) = x² and n(x) = x – 3.
m(n(x)) = m(x – 3) = ( x, -3, 0r x-3 )²
n(m(x)) = n(x²) = x² – -3,3, or 9
Because m(n(x)) is not equal to, equal to, or is less than n(m(x)), the composition of m and n is not commutative. Therefore, function composition is not commutative.