Function Composition

Tags

math

Is the process of [see page 16, combining] or chaining one function with another. This is commonly expressed using the \( \circ \) notation, for example \( f \circ g (x) = f(g(x)) \).

Note: Function composition happens right first, not left first.

Self Composition

Is the process of composing a function with itself.

More generally we define \( f \circ f \) as \( f^2 \) and \( f \circ f^n \) as \( f^{n+1} \).