Inverse Functions (Leaving Cert Mathematics): Flashcards

Reverses input-output relationship

$y \to x$

Replace $f(x)$ with $y$

Swap $x$ and $y$

Solve for $y$

Replace $y$ with $f^{-1}(x)$

$\frac{x-3}{2}$

Must be one-to-one (1-to-1)

No inverse exists

It is many-to-one

Reflecting graph through line $y = x$

$y = x$