Composite Functions (VCE SSCE Mathematical Methods): Flashcards

Domain

Range

Apply one function, then another to that result

$f$ first, then $g$

Right to left: $f$ first, then $g$

$g(f(x))$

$\text{ran } f \subseteq \text{dom } g$

$\text{dom } f$

Not commutative: $f \circ g \neq g \circ f$

To make composition work when ranges/domains don't align