Relations and Functions — Class 12 Maths Solution

exemplar objective MCQ NCERT Exemp.Q.37,Page 15
Question

If $f:R \to R$ be defined by $f(x) = \frac{1}{x},\forall x \in R$. Then, $f$ is

  • (a) one-one
  • (b) onto
  • (c) bijective
  • (d) $f$ is not defined ✓ Correct
Step-by-step Solution
Correct answer: option (d)

It is given that,, $f(x) = \frac{1}{x},\forall x \in R$
For $x = 0$

$f(x)$ is not defined.

Hence we can say that, $f(x)$ is a not define function.

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Relations and Functions. Curated by Sachin Sharma. Free for all students.