Question

What is the domain of y= √x-5-1

Answer 1

Answer:

The function domain is

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

Step-by-step explanation:

we need to find the domain of $y = \sqrt{x-5}-1$

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, ∞)

Answer 2

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, ∞)