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.