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    uniformly continuous

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    Suppose I C R and J C R are intervals, f : I --> J is uniformly continuous, and g : J --> R is uniformly continuous.
    a) Give the definition of h=g dot f. What is its domain?
    b) Prove that h is uniformly continuous.

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    Solution Summary

    This solution helps explore the concept of uniform continuity within the context of calculus and analysis.