Question

What is the domain of the function y= square root x - 5 - 1

Answer 1

Answer:

$x\geq 5$

Step-by-step explanation:

The function that we have to study in this problem is

$y=\sqrt{x-5}-1$

The domain of a function is defined as the set of all the possible values of x that the function can take.

For a square-root function, there are some limitations to the possible value of the argument in the root.

In particular, the argument of a square root must be equal or greater than zero, because the square root of a negative number is not defined.

Therefore, in this case, we have to set the following condition for the domain:

$x-5\geq 0$

And by solving, we get

$x\geq 5$

which means that the domain of this function is all real numbers equal or greater than 5.