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    Advanced Calculus Analysis : Simplify using Set and Interval Notation

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    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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    Please see the attached file.

    Since ,
    then the domain of f(x) ...

    Solution Summary

    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.