# Maths - Compound Functions

## 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 $f(x) = 5x - 2$?

\[x \ge \frac{2}{5}\]