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Functions question

2020 · 6 Sep · Shift 2 · Q18

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PYQ Library
JEE Main
Mathematics
Functions
2020 · 6 Sep · Shift 2 · Q18

Functions question

2020 · 6 Sep · Shift 2 · Q18

JEE MainMathematicsFunctionsMCQ+4 / −1

For a suitably chosen real constant a, let a function,

f:R - \left\{ { - a} \right\} \to R

be defined by

f(x) = {{a - x} \over {a + x}}

. Further suppose that for any real number

x e - a

and

f(x) e - a

, (fof)(x) = x. Then

f\left( { - {1 \over 2}} \right)

is equal to :

A
${1 \over 3}$
B
–3
C
$- {1 \over 3}$
D
3

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