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Functions question

2022 · 26 Jun · Shift 1 · Q21

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PYQ Library
JEE Main
Mathematics
Functions
2022 · 26 Jun · Shift 1 · Q21

Functions question

2022 · 26 Jun · Shift 1 · Q21

JEE MainMathematicsFunctionsMCQ+4 / −1

Let

f(x) = {{x - 1} \over {x + 1}},\,x \in R - \{ 0, - 1,1\}

. If

{f^{n + 1}}(x) = f({f^n}(x))

for all n

\in

N, then

{f^6}(6) + {f^7}(7)

is equal to :

A
${7 \over 6}$
B
$- {3 \over 2}$
C
${7 \over {12}}$
D
$- {{11} \over {12}}$

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