Mathematics · JEE | RELATIONS AND FUNCTIONS

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The domain of the real function \( f(x) = \frac{1}{x} \) is \( \mathbf{R} - \{0\} \). Reason (R): A rational function is defined for all real values of the variable where the denominator is non-zero. In the light of the above statements, choose the correct answer from the options given below:

1. A
   Both (A) and (R) are true and (R) is the correct explanation of (A).
2. B
   Both (A) and (R) are true but (R) is NOT the correct explanation of (A).
3. C
   (A) is true but (R) is false.
4. D
   (A) is false but (R) is true.