Thread: function image?

I have this question, I don't quite know how to approach it :

g : R → R

g(x) =

I need to find Img(g) and determine if its one-to-one function.

then it asks - what will happen to the image if we reduce the interval to [0,∞)

thanks in advance.

This question really belongs in Calculus. This question is asking for the range of g. How do you normally go about finding the range?