JEE PYQ: Functions Question 33
Question 33 - 2019 (09 Jan Shift 2)
Let $A = {x \in \mathbb{R} : x$ is not a positive integer$}$. Define a function $f: A \to \mathbb{R}$ as $f(x) = \frac{2x}{x-1}$, then $f$ is:
(1) not injective
(2) neither injective nor surjective
(3) surjective but not injective
(4) injective but not surjective
Type: MCQ
Show Answer
Answer: (4) injective but not surjective
Solution
$f$ is one-one. $f(x) \neq 2$ for any $x \in A$, so $f$ is not onto.
BETA
