# Maths - Compound Functions

> Source: https://ollybritton.com/notes/a-level/maths/topics/compound-functions/ · Updated: 2021-07-05 · Tags: maths, school

## Flashcards
##### What does $fg(x)$ mean??
$$
f(g(x))
$$

##### What does $f^2(x)$ mean??
$$
f(f(x))
$$

##### What does $\alpha \circ \beta (x)$ mean??
$$
\alpha(\beta(x))
$$

##### If the domain for $g(x) = x^2 - 3$ is $$x \in \mathbb{R}, x \ge 0$$ What is the domain for $gf(x)$ where $f(x) = 5x - 2$??
$$
x \ge \frac{2}{5}
$$

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