Quiz 3

Date: MATH 1210-4 - Spring 2004

Note: Unless stated otherwise, answers without justification receive no credit. Please, show your work!

1. Find the natural domains:
   1. $Dom(\frac{3}{x^2+7})$.
   2. $Dom(\frac{3}{x+7})$.
   3. $Dom(\sqrt{3+x})$.

2. Let $f(x)=x^5+x$, $g(x)=\frac{1}{x}$, and $h = f\circ g$.
   1. Write an explicit formula for $h(x)$.
   2. Compute $h(2)$.

3. Evaluate, without using a calculator, $\tan(\frac{\pi}{3})$.

4. Specify if $f(x) = \frac{x}{x^2-1}$ is even, odd, or neither. Prove your claim.