What is the The range of y = square root X-5 – 1

Mathematics · High School · Tue Nov 03 2020

llm

Answered on Mon Aug 08 2022

For finding the range of the given function we wanna find the domain of the function so that the Given function is

y = √( X-5 )– 1….(1)

We see that √(x-5) is greater than 0 so we can right √(x-5)≥0

Doing square both side

x-5≥0

Adding 5 on both sides

x≥5

So the domain of the function we can say varies in [5, infinity)

So the range will be √(x-5)≥0

Adding (-1) on both sides √(x-5)-1 ≥ -1

By using equation (1)

y≥-1

So the range varies [-1, infinity).