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Homework on 16 January 2016:

To be turned in on Monday:
  1. Consider the function $f\colon\R\to\R$ by $f(x) = x^3-x$. Show that $f$ is not invertible. (Note: you do not need to graph $f$ to be able to do this.)
  2. Consider the function $f(x) = \sqrt{x+3\over x}$. What is the natural domain of $f$?
  3. Find an $x$ where $\tan(3x) = \sqrt{3}$. Is this the only possible $x$? If so, why? If not, what others are there?

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Created: 16 Sep 2016
Last modified: Sep 16, 2016 11:35:58 AM
Comments to: dpvc@union.edu
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