Question

Which statement expresses that composition is not commutative in general?

Options

• \(g\circ f=f-g\)

• \(g\circ f\neq f\circ g\)

• \(g\circ f=g+f\)

• \(g\circ f=f\circ g\)

Answer 1

The order of functions generally changes the result. Therefore, \(g\circ f\) and \(f\circ g\) are usually different, so composition is not commutative in general.