Inverse Functions (VCE SSCE Mathematical Methods): Flashcards

Reverses effect of original function

Function must be one-to-one

Horizontal line test

Inverse function, NOT reciprocal $\frac{1}{f(x)}$

Reflection across line $y = x$

$\text{dom } f^{-1} = \text{ran } f$

$x$

Interchange $x$ and $y$, solve for $y$

Domain restriction determines sign

When function is not one-to-one