Posted by Miley on .
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,
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,
i don't understand. Can you please explain in simplier terms, thanks:)

alg 2 
Damon,
you can not take the square root of a negative number, so x may not be negative

alg 2 
Miley,
there is no negative number though

alg 2 
Damon,
There is no negative X in the domain, exactly. The domain is all POSITIVE real X