Determining If a Function Composition Is Commutative Complete the following statements using m(x) = x² and n(x) = x – 3. m(n(x)) = m(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.