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Functions question

2023 · 1 Feb · Shift 2 · Q38

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PYQ Library
JEE Main
Mathematics
Functions
2023 · 1 Feb · Shift 2 · Q38

Functions question

2023 · 1 Feb · Shift 2 · Q38

JEE MainMathematicsFunctionsMCQ+4 / −1

Let

f:\mathbb{R}-{0,1}\to \mathbb{R}

be a function such that

f(x)+f\left(\frac{1}{1-x}\right)=1+x

. Then

f(2)

is equal to

A
$\frac{9}{4}$
B
$\frac{7}{4}$
C
$\frac{7}{3}$
D
$\frac{9}{2}$

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