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Is x=1 part of the domain of f(x)=the square root of x-10? Explain why/why not.

User Panayot Karabakalov
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1 Answer

25 votes
25 votes
x = 1 is not part of the domain.


The solution to f(x) = √(x -10) is:

Domain: x ≥ 10, [10, ∞)
Range: f(x) = ≥ 0, [0, ∞)

The reason why x = 1 is not part of the domain because if you plug in the value of x into the function, it will result in √-9, which results in 3i. That’s why x = 1 is not part of the domain.
User Ondrej Machulda
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