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10312009  #1 
Join Date: Oct 2009
Posts: 1

injective function and image
Hi all!
i have a problem solving this: given the function g: R>R g(x) = (2x^2  x)/(3x^2 +x + 1) I have to determine g is an injective function, and also find its image. any ideas? Thanks! 
11012009  #2  
Join Date: Dec 2008
Posts: 249

Quote:
Therefore, since g(0) = (2(0)^2  0)/(3(0)^2 + 0 + 1) = (0)/(1) = 0 and g(1/2) = (2(1/2)^2  (1/2))/(3(1/2)^2 + (1/2) + 1) = (0)/(2 1/4) = 0 then the function g(x) is not injective. I'm not sure what you mean by image. Could you define it ? 

03162010  #3 
Join Date: Feb 2010
Posts: 388

What Mas1 said.
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