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

