Let f: ℝ \ { 2, 6 } → ℝ be the real-valued function defined as f(… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 31 January, Shift 2Functions

Let $f: \mathbb{R} \setminus \{ 2, 6 \} \to \mathbb{R}$ be the real-valued function defined as

f(x) = \frac{x^2 + 2x + 1}{x^2 - 8x + 12}.

Then the range of $f$ is:

A
$\left( -\infty, \frac{-21}{4} \right] \cup [0, \infty)$ ](streamdown:incomplete-link)
B
$\left( -\infty, \frac{-21}{4} \right] \cup (0, \infty)$
C
$\left( -\infty, \frac{-21}{4} \right] \cup \left[ \frac{21}{4}, \infty \right)$ ](streamdown:incomplete-link)
D
$\left( -\infty, \frac{-21}{4} \right] \cup [1, \infty)$ ](streamdown:incomplete-link)

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