Question

What is the domain of the function y=√x-10

Answer 1

`x\geq 10;[10,\infty)`

Explanation:

We have been given a function
`y=√(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.

Answer 2

the domain for the function is [10,∞) x