Question 4338: domain of .
Answer by rapaljer(4671) (Show Source):
You can put this solution on YOUR website! Domain means the set of all permissible x values that could be substituted into the equation (or formula). Basically, at this level of math, there are really only two restrictions to watch out for:
1) denominators cannot equal zero
2) radicands of square roots, fourth roots, etc. cannot be negative.
If there are no denominators and no square roots, fourth roots, etc., then there are no restrictions, and any value of x is allowed in the equation. In these cases, the domain is "ALL REAL NUMBERS" or in interval notation, you could write (-infinity, infinity). [Note: I'm sorry I forgot the code for infiniity!!]
In this case, , since there are no denominators and no square roots, there are no restrictions for x. See for yourself, you can put any value in place of the x, and you can successfully find the value of y.
The final answer is "All Real Numbers" or (-inf, inf)
R^2 at SCC
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