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

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.