Inverse Functions (AQA A-Level Mathematics): Flashcards

One-to-one (1-to-1)

$f^{-1}(x)$

Restrict the domain

Write as $y = f(x)$ and swap $x$ and $y$

Range of $f(x)$

$\sqrt{x}, x \geq 0$

$\ln(x), x > 0$

Reflection through line $y = x$

On the line $y = x$

It is many-to-one