Let f: ℝ → ℝ be a function such that f(x) = (x² + 2x + 1)/(x² + 1… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 29 January, Shift 1Functions

Let $f : \mathbb{R} \to \mathbb{R}$ be a function such that

f(x) = \frac{x^2 + 2x + 1}{x^2 + 1}

Then

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 $(-\infty, \infty)$ ](streamdown:incomplete-link)
D
$f(x)$ is one-one in $(-\infty, \infty)$

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