SOLUTION: Please explain the steps on how to find the domain of 27x + 1 over the square root of 3 - x. Thank you

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Question 346195: Please explain the steps on how to find the domain of 27x + 1 over the square root of 3 - x.
Thank you
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The domain is all of the x values where the function is defined.
The square root is defined only when the argument is not negative.
A function is defined when the denominator is not zero.
So the square root argument can't be zero either.
Solve for
3-x%3E0
x%3C3
That's the only restriction.
The domain of the function is then (-infinity,3).
graph%28300%2C300%2C-10%2C10%2C-100%2C300%2C%2827x%2B1%29%2Fsqrt%283-x%29%29%29