Posted by **Miley** on Tuesday, March 18, 2008 at 7:07pm.

Given the following functions, perform the indicated operation and state the domain.

f(x) * g(x)

3X^1/2*6X^1/3. I got 18X^5/6. But without using a calculator how do i find the domain?????? Thanks:)

- alg 2 -
**Damon**, Tuesday, March 18, 2008 at 7:34pm
If x is negative, then x^(1/2) is imaginary. (by the way x to the one third has two complex roots for negative x)

That kind of restricts the whole deal to positive real x.

- alg 2 -
**Damon**, Tuesday, March 18, 2008 at 8:34pm
you can not take the square root of a negative number, so x may not be negative

- alg 2 -
**Miley**, Tuesday, March 18, 2008 at 8:47pm
there is no negative number though

- alg 2 -
**Damon**, Tuesday, March 18, 2008 at 8:49pm
There is no negative X in the domain, exactly. The domain is all POSITIVE real X

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