Question

find the domain and range of the real function f denoted by f(x)= \sqrt{x - 1} x−1 ​ ​

Mod challenge

Answer 1

Explanation:

Answer:

x ∈ [ 1 , ∞ )

y ∈ [ 0 , ∞ )

Step-by-step explanation:

Given :

f ( x ) = √ ( x - 1 )

Domain :

= >  √ ( x - 1 ) ≥ 0

= > x - 1 ≥ 0

= > x ≥ 1

x ∈ [ 1 , ∞ )

Range :

Let y = √ ( x - 1 )

= > x - 1 = y²

= > x = y² + 1

= > y² ≥ 0

y ∈ [ 0 , ∞ )

Hence we get required answer!