Homework Help: alg 2

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 - Miley, Tuesday, March 18, 2008 at 8:20pm
  i don't understand. Can you please explain in simplier terms, thanks:)
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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