Relations And Functions Practice Questions Ques10
Question: What is the domain of the function $f(x) = \frac{1}{x-2}$?
Options:
(A) All real numbers
(B) All real numbers except 2
(C) All real numbers except 0
(D) All positive real numbers
Show Answer
Answer: B
Explanation:
(A) This is incorrect as x cannot be 2.
(B) This is correct as the function is defined for all real numbers except when x = 2.
(C) This would be true if the denominator was x, not x-2.
(D) This is too restrictive as negative numbers are also allowed.