SOLUTION: hello, my question is what is the domain of square root of 2-x

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Question 840481: hello,
my question is what is the domain of square root of 2-x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You cannot take the square root of a negative number (and get a real numbered result). So that's why the radicand 2-x must be 0 or positive. So,

2-x%3E=0

2%3E=0%2Bx

2%3E=x

x%3C=2

So the domain is the set of x values such that x%3C=2

In interval notation, the domain is