Not holding out much hope for this since I can't explain all too well what my issue with it is, but here goes...

*Find the largest doman (R is the real numbers, can't find the symbol in Latex) such that the rule makes sense and computre the image of under this rule.* * *
Now I know

can't equal an odd number

, so

(not equal to)

where

is the integers (can't find the "not equal to" symbol on the PDF, either).

So for my largest domain I have

(not equal to)

I'm having trouble getting the set

for which that rule makes sense...

This isn't for marked homework by the way. Well, the theory is, but this examples subtly different from the one I have to hand in to be marked.