Posted by **Shaq** on Sunday, October 2, 2011 at 5:34pm.

how to solve equations like SQRT(x-6)/SQRT(4-x) for their domain

- algebra -
**Steve**, Monday, October 3, 2011 at 5:38am
The domain will be all real numbers except:

where the denominator is zero

one of the radicands is negative

so,

x-6 >= 0, or x >= 6

4-x >= 0, or x <= 4

exclude x=4

we want all x satisfying all of the above. I don't see any.

x >= 6 means 4-x < 0

x < 4 means x-6 < 0

so, nowhere is there a valid sqrt possible

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