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Advanced Calculus Analysis : Simplify using Set and Interval Notation

Let f: R → R defined by f(x) = x² for all xER. Use set notations (for example, ∩, U, −) and interval notations to simplify the sets f(f-¹ [-1, 3]) and f-¹(f[-1, 3]).


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Sets are simplified using set and interval notation. The solution is detailed and well presented. The response received a rating of "5" from the student who posted the question.