Question

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

Answer 1

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.

Answer 2

The domain for the function is [10,∞) {x|x≥10}