Linear Functions (Grade 12 NSC Matric Mathematics): Flashcards

Reverses the effect of the original function

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

1. Swap x & y 2. Make y subject 3. Function notation

$y = \frac{1}{a}x - \frac{q}{a}$

Must be one-to-one (injective)

They swap: domain of $f$ = range of $f^{-1}$

Swap: $(a,b)$ on $f$ becomes $(b,a)$ on $f^{-1}$

Reflection of $f$ about line $y = x$

Point $(b,a)$

$f(f^{-1}(x)) = x$ and $f^{-1}(f(x)) = x$