Question

Find the domain of the real valued function of real variable:

(i) \[f\left( x \right) = \sqrt{x - 2}\]

 

Answer 1

(i) Given:

\[f\left( x \right) = \sqrt{x - 2}\]

Clearly, f (x) assumes real values if x -2 ≥ 0.

⇒ x ≥ 2
⇒ x ∈ [2, ∞)
Hence, domain (f) = [2, ∞) .