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Is x = 1 part of the domain of the function f(x) = √(x-10)? Why or why not? Explain completely.

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Final answer:

The value x = 1 is not part of the domain of the function f(x) = √(x-10) because it would result in taking the square root of a negative number.

Step-by-step explanation:

The function f(x) = √(x-10) is defined for x-values greater than or equal to 10. If we substitute x = 1 into the function, we get f(1) = √(1-10) = √(-9). Since the square root of a negative number is undefined in the real number system, x = 1 is not part of the domain of the function f(x) = √(x-10).

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