Question:
Let a function $f:(0, \infty) \rightarrow(0, \infty)$ be defined by $f(x)=\left|1-\frac{1}{x}\right|$. Then $f$ is :
Correct Option: , 4
Solution:
$f:(0, \infty) \rightarrow(0, \infty)$
$f(x)=\left|1-\frac{1}{x}\right|$ is not a function
$\because \quad f(1)=0$ and $1 \in$ domain but $0 \notin$ co-domain
Hence, $f(x)$ is not a function.
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