My Math Forum  

Go Back   My Math Forum > College Math Forum > Real Analysis

Real Analysis Real Analysis Math Forum


Reply
 
LinkBack Thread Tools Display Modes
January 6th, 2015, 03:06 AM   #1
Member
 
Joined: Oct 2013

Posts: 36
Thanks: 0

function composition

For each of the following functions g: R → R state how many functions f: R → R exist such that f(g(x)) = x^2.

(l) g(x) = x
(m) g(x) = x^2
(n) g(x) = (x − 1)^2

I was doing this question and I only got (n) right (and I understand this). The answers given are 1, an infinite number and none. What I don't get is why the answers for part (l) and (m) are 1 and infinite.
For example for part (l) aren't 2 acceptable functions for f(x)=x^2 and f(x)=|x|^2 and if not then what are some forms of the infinitely many functions for part (m)?

Last edited by skipjack; January 6th, 2015 at 04:06 AM.
fromage is offline  
 
Reply

  My Math Forum > College Math Forum > Real Analysis

Tags
composition, compostion, function



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Finding The Derivative of a composition of a function.... soulrain Calculus 5 June 2nd, 2012 08:41 PM
Function composition johnny Calculus 2 March 27th, 2011 03:53 AM
Composition of a function f. ZardoZ Calculus 3 November 17th, 2010 05:44 AM
Function composition, simplyfying. Whatsmath Calculus 3 October 28th, 2009 04:15 PM
Composition function axelle Algebra 1 December 28th, 2007 03:50 PM





Copyright © 2019 My Math Forum. All rights reserved.