Composite Functions (AQA A-Level Mathematics): Flashcards

$f(g(x))$ - $f$ applied to $g(x)$

$g$ (closest to bracket)

$g(g(x))$ - $g$ composed with itself

$e^{x^2-3}$

$f[square]=e^{square}$

$9x+19$

Function closest to bracket applied first

Set $y=0$ and solve for $x$

Yes, e.g., $fgf(2)$ is valid

Applying multiple functions to a quantity