Relations And Functions Practice Questions Ques6

Question: What is the domain of the function $f(x) = \sqrt{x - 2}$?

Options:

(A) $[2, \infty)$

(B) $(2, \infty)$

(C) $(-\infty, 2]$

(D) $(-\infty, 2)$

Show Answer

Answer: A

Explanation:

(A) The domain is $[2, \infty)$ because $x - 2 \geq 0$ for the square root to be defined.

(B) This excludes 2, which should be included in the domain.

(c) This is the wrong direction for the inequality.

(D) This is the wrong direction and excludes 2.