Answer:
The domain is the interval [5,∞)
Step-by-step explanation:
we have
[tex]y = \sqrt{x-5}-1[/tex]
we know that
The radicand (number under a radical) must be greater than or equal to zero
so
[tex]x-5\geq 0[/tex]
solve for x
Adds 5 both sides
[tex]x-5+5\geq 0+5[/tex]
[tex]x\geq 5[/tex]
therefore
The domain is the interval [5,∞)
All real numbers greater than or equal to 5
