Hostname: page-component-745bb68f8f-grxwn Total loading time: 0 Render date: 2025-01-14T20:53:56.652Z Has data issue: false hasContentIssue false
  • English
  • Français

2. Some approaches to the general problem

Published online by Cambridge University Press:  22 September 2016

J. S. Griffith
J. S. Griffith*
Affiliation:
Department of Mathematical Sciences, Lakehead University, Thunder Bay, Ontario P7B 5E1, Canada
Get access Rights & Permissions [Opens in a new window]

Extract

From any two given functions of x, f (x) and g(x), we can (if domain and range agree) construct their compositions f (g(x)) and g(f (x)). Thus from x2and tan x we construct (tan x)2 and tan (x2). I started this investigation by wondering about the inverse situation, where, given a function h(x), we are interested in finding all possible pairs of functions f(x), g(x) whose composition f (g(x)) yields h(x).

Type
Decomposition of functions
Information
The Mathematical Gazette , Volume 64 , Issue 428 , June 1980 , pp. 116 - 120
Copyright
Copyright © Mathematical Association 1980

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)