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Functions question

2023 · 29 Jan · Shift 1 · Q35

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PYQ Library
JEE Main
Mathematics
Functions
2023 · 29 Jan · Shift 1 · Q35

Functions question

2023 · 29 Jan · Shift 1 · Q35

JEE MainMathematicsFunctionsMCQ+4 / −1

Let

f:R \to R

be a function such that

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

. Then

A
$f(x)$ is many-one in $( - \infty , - 1)$
B
$f(x)$ is one-one in $( - \infty ,\infty )$
C
$f(x)$ is one-one in $[1,\infty )$ but not in $( - \infty ,\infty )$
D
$f(x)$ is many-one in $(1,\infty )$

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