Question

What is the domain of y= √x-5-1

Answer 1

y = sqrt(x - 5) - 1

for the square root to be a real number x must be >= 5

The domain is x>= 5 , or in interval notation [5, ∞)

Answer 2

The function domain is

`x\ge \:5` Or in interval notation [5, ∞)

Explanation:

we need to find the domain of
`y = √(x-5)-1`

Domain definition :-The domain of a function is the set of input or argument values for which the function is real and defined

`\mathrm{Find\:non-negative\:values\:for\:radicals}:\quad x\ge \:5`

`\mathrm{Solve\:}\:x-5\ge \:0:\quad x\ge \:5`

The function domain is

`x\ge \:5` Or in interval notation [5, ∞)