Question

The composition of functions is commutative.

Options

• True

• False

Answer 1

This statement is False.

Explanation:

Let f(x) = x² and g(x) = x + 1

fog(x) = f((g(x))

= f(x + 1)

= (x + 1)²

= x² + 2x + 1

gof(x) = g(f(x))

= g(x²)

= x² + 1

Thus fog(x) ≠ gof(x)