1. If A is compact, show that f(A) is compact. Is the converse true?(adsbygoogle = window.adsbygoogle || []).push({});

2. If A is connected, show that f(A) is connected. Is the converse true?

3. If B is closed, show that B inverse is closed.

Any help with any or all of these three would be greatly appreciated.

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# Compact,connected, and closed

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