SOLUTION: How do I find the range of this function : g(x) = 5+ √4-x

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Question 336293: How do I find the range of this function : g(x) = 5+ √4-x
Answer by galactus(183) About Me  (Show Source):
You can put this solution on YOUR website!
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The domain is what you plug in for x and the range is what you get when you do.
Remember, we can not have negatives inside the radical. That would give us a complex result.
So, if we plug in anything from negative infinity to 4, we get a real result.
negative infinity to 4 is the domain. Written as (-inf,4]
The range is then 5 to infinity. It can be written as [5,inf.)
Try plugging in x=5. This is out of the domain and we get a complex result.
See now?.