JEE PYQ: Functions Question 37
Question 37 - 2019 (11 Jan Shift 2)
Let a function $f : (0, \infty) \to (0, \infty)$ be defined by $f(x) = \left|1 - \frac{1}{x}\right|$. Then $f$ is:
(1) not injective but it is surjective
(2) injective only
(3) neither injective nor surjective
(4) $f(x)$ is not a function
Type: MCQ
Show Answer
Answer: (4) $f(x)$ is not a function
Solution
$f(1) = 0$ and $1 \in$ domain but $0 \notin$ co-domain $(0, \infty)$.
Hence, $f(x)$ is not a function.
BETA
