Answer:
[tex]x\geq 10;[10,\infty)[/tex]
Step-by-step explanation:
We have been given a function [tex]y=\sqrt{x-10}[/tex]. 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:
[tex]x-10\geq 0[/tex]
[tex]x-10+10\geq 0+10[/tex]
[tex]x\geq 10[/tex]
Therefore, the domain of our given function is all values of x greater than or equal to 10 that is [tex][10,\infty)[/tex] in interval notation.
