Composite Functions (VCE SSCE Mathematical Methods): Quizzes

Apply 1 function, then another to result

$f$ is applied first

ran $f \subseteq$ dom $g$

dom $f$

No, order matters

$g \circ f(x) = (2x - 1)^2$

Only $g \circ f$

ran $g$ not subset of dom $f$

Apply $f$ to $x$, then $g$ to result

To make range fit next function's domain