Algebra III (AQA GCSE Further Maths): Flashcards

A function created by applying functions one after another in sequence

Order matters - changes order = different result

$g$ is applied first, then $f$

Right to left - closest to $x$ applied first

Usually give completely different results

$f(f(x))$ - apply $f$ twice

$(x+2)^2$

$x^2+2$

Apply $h$ first, then $g$, then $f$

$f(x) + g(x)$

$f(x) imes g(x)$

$f(x) div g(x)$ or rac{f(x)}{g(x)}

Getting order wrong - remember $g$ first, then $f$

Avoid errors: $(2x-3)^2$ not $2x-3^2$

$[f(x)]^2$ - it means $f(f(x))$, not squaring