May 25th, 2019, 06:09 AM  #1 
Member Joined: Jul 2017 From: KOLKATA Posts: 43 Thanks: 2  Function : Domain Range Problem
Let f: D > R be defined as f(x) = (x^2 + 2x + a)/ (x^2 + 4x + 3a) , where D and R denote domain of f and set of all real nos. respectively . If f is surjective mapping then the range of a is ?

May 26th, 2019, 12:34 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,746 Thanks: 2133 
As the range of a doesn't include 0 or 1, I suspect it is (0, 1).


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