Mathematics · 2022
JEE Main · 26 June 2022, Shift 1 · Q1
Let f(x)=(x-1)/(x+1), x ∈ R -{0,-1,1}. If f^n +1 (x)=f(f^n (x)) for all n ∈ N, then f^6(6)+f^7(7) is equal to:
Let $\displaystyle f(x)=\frac{x-1}{x+1}, x \in \mathbf{R}-\{0,-1,1\}$. If $\displaystyle f^{\mathrm{n}+1}(x)=f\left(f^{\mathrm{n}}(x)\right)$ for all $\displaystyle \mathrm{n} \in \mathbf{N}$, then $\displaystyle f^6(6)+f^7(7)$ is equal to :
Official answer
(2)
$\displaystyle -\frac{3}{2}$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.