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.



Javier Fernandez 2004-02-03