Functions (Edexcel A-Level Mathematics): Flashcards

A process that takes an input, applies a rule, outputs a result.

$f(x) = x^2 + 2$.

Using $fg(x) = f(g(x))$.

$f(g(x)) = e^{(x^2 - 3)}$.

$g(g(x)) = (x^2 - 3)^2 - 3$.

$ff(x) = e^{(e^x)}$.

$f(x) = 3x - 2$, $g(x) = 3x + 7$.

It intersects at points where $fg(x) = 0$.

It's the composition of functions applied sequentially.

The function closest to the bracket is applied first.