ComposeList

ComposeList[{f1, f2, ...}, x] generates a list of the form {x, f1[x], f2[f1[x]], ...}.

Examples

Generate a composition list:

ComposeList[{Sin, Cos, Tan}, 0.5]
(* {0.5, 0.479426, 0.877583, 1.18678} *)

Please visit the official Wolfram Language Reference for more details.