In my text book I have an example of a graph, g(x) = 1/x (1<x<2)

I understand the real numbers above in brackets are the domain of x which satisfies the domain if I got that right!

If I draw the above graph I have x values as the domain above, which are also understood as closed intervals, {a,b}

The image set I understand to be values on the y axis, and in the above example would be 1/2 and 1, {1/2, 1}

What I don't seem to be able to get to grips with is the understanding of how to use the real numbers of the domain to find intervals, and if different how the image set values are found?

Could somebody give me an explantion using the above example please.

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