Answer:
\(x\geq 10;[10,\infty)\)
Step-by-step explanation:
We have been given a function \(y=\sqrt{x-10}\). We are asked to find the domain of our given function.
We know that domain of a square root function is non-negative for radical. To find the domain of our given function, we will set the expression under radical greater than or equal to 0 as:
\(x-10\geq 0\)
\(x-10+10\geq 0+10\)
\(x\geq 10\)
Therefore, the domain of our given function is all values of x greater than or equal to 10 that is \([10,\infty)\) in interval notation.
