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 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. Tags composition, compostion, function Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post soulrain Calculus 5 June 2nd, 2012 08:41 PM johnny Calculus 2 March 27th, 2011 03:53 AM ZardoZ Calculus 3 November 17th, 2010 05:44 AM Whatsmath Calculus 3 October 28th, 2009 04:15 PM axelle Algebra 1 December 28th, 2007 03:50 PM

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