Let $f : R \rightarrow R$ be a function such that $f(x)=\frac{x^2+2 x+1}{x^2+1}$. Then
Let $f : R \rightarrow R$ be a function such that $f(x)=\frac{x^2+2 x+1}{x^2+1}$. Then
- [JEE MAIN 2023]
- A
$f(x)$ is many-one in $(-\infty,-1)$
- B
$f(x)$ is many-one in $(1, \infty)$
- C
$f(x)$ is one-one in $[1, \infty)$ but not in $(-\infty, \infty)$
- D
$f ( x )$ is one-one in $(-\infty, \infty)$
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- [JEE MAIN 2021]
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