Composite Functions (Leaving Cert Mathematics): Flashcards

One function applied to the result of another function

Apply $g(x)$ first, then use result as input for $f(x)$

$(f \circ g)(x)$

$f$ after $g$ - apply $f(x)$ after applying $g(x)$

The function closest to the bracket (most nested)

$2x^2+1$

Replace $g(x)$ with $x^2$ to get $f(x^2)$

$19$