10-07 散裝筆記

inverse functions

\(f^{-1}(x) = y \iff f(y) = x\)

transformations

• shifting :

  

• skretching & reflecting:

product and quotient

\[(fg)(x)=f(x)g(x) \]

\[(\frac{f}{g})(x) = \frac{f(x)}{g(x)} \]

\[(f\circ g)(x) = f(g(x)) \]