# Quiz 3 (Solution)

Date: MATH 1210-4 - Spring 2004

1. Find the natural domains:
1. .

The only problem that could have is a 0 in the denominator. But is at least , so is never 0, and the function has no problem. Therefore .

2. .

The only problem that could have is a 0 in the denominator. Then, , so the only problem that the function has is at . Therefore .

3. .

This function has problems when the numbers inside the root are negative. So, if (better, ), there are no problems. Thus .

2. Let , , and .
1. Write an explicit formula for .

2. Compute .

3. Evaluate, without using a calculator, .

First, we remember that . Then, since we know that and we conclude

4. Specify if is even, odd, or neither. Prove your claim.

We have to find if there is a relation between and .

so that is an odd function.

Javier Fernandez 2004-02-06