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hello everyone its me again yesterday I got a question from a student in the math learning center which is really similar to the question Im showing you here right now cuz I dont remember what exactly what he asked me so I find an example I think this question was from a quiz last semester I dont remember which term which quiz exactly but I do think its a really good question because it tests his knowledge for function image and sets I remember last year a lot of students freaked out when they saw the question and very few students actually got this so I dont want the same thing to happen again in case it actually shows up in your quiz later so lets work on this proof for this question its actually quite similar to the set a quality question weve done before as always you need to pick an arbitrary number from this and show that that element is actually an element of this as well so before we actually do that lets go over the definition so by definition of image we have F of