alg 2

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:)

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asked by Miley
  1. 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.

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    posted by Damon
  2. i don't understand. Can you please explain in simplier terms, thanks:)

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    posted by Miley
  3. you can not take the square root of a negative number, so x may not be negative

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    posted by Damon
  4. there is no negative number though

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    posted by Miley
  5. There is no negative X in the domain, exactly. The domain is all POSITIVE real X

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    posted by Damon

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