Es seien ${\displaystyle {}a,b}$ natürliche Zahlen und

${\displaystyle f\colon \mathbb {R} \longrightarrow \mathbb {R} ,\,x\longmapsto x^{a},}$

und

${\displaystyle g\colon \mathbb {R} \longrightarrow \mathbb {R} ,\,x\longmapsto x^{b},}$

${\displaystyle {}f\cdot g}$

${\displaystyle {}f\circ g}$

${\displaystyle {}g\circ f}$