Composite and Inverse Functions (VCE SSCE Mathematical Methods): Flashcards

$g(f(x))$

$f$ is applied first, then $g$

Range of $f$ must be in domain of $g$

Reverses the action of the original function

Must be one-to-one

Different inputs give different outputs

Range of $f$

$f(a) > f(b)$

$f(a) < f(b)$

$f^{-1}$ is also strictly increasing