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Functions question

2023 · 31 Jan · Shift 2 · Q24

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JEE Main
Mathematics
Functions
2023 · 31 Jan · Shift 2 · Q24

Functions question

2023 · 31 Jan · Shift 2 · Q24

JEE MainMathematicsFunctionsMCQ+4 / −1

Let

f: \mathbb{R}-\{2,6\} \rightarrow \mathbb{R}

be real valued function defined as

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

. Then range of

f

is

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

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