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.