jee-main 2022 Q71

jee-main · India · session1_26jun_shift1 Composite & Inverse Functions Evaluate Composition from Algebraic Definitions

Let $f ( x ) = \frac { x - 1 } { x + 1 } , x \in R - \{ 0 , - 1 , 1 \}$. If $f ^ { n + 1 } ( x ) = f \left( f ^ { n } ( x ) \right)$ for all $n \in N$, then $f ^ { 6 } ( 6 ) + f ^ { 7 } ( 7 )$ is equal to
(1) $\frac { 7 } { 6 }$
(2) $- \frac { 3 } { 2 }$
(3) $\frac { 7 } { 12 }$
(4) $- \frac { 11 } { 12 }$

Let $f ( x ) = \frac { x - 1 } { x + 1 } , x \in R - \{ 0 , - 1 , 1 \}$. If $f ^ { n + 1 } ( x ) = f \left( f ^ { n } ( x ) \right)$ for all $n \in N$, then $f ^ { 6 } ( 6 ) + f ^ { 7 } ( 7 )$ is equal to\\
(1) $\frac { 7 } { 6 }$\\
(2) $- \frac { 3 } { 2 }$\\
(3) $\frac { 7 } { 12 }$\\
(4) $- \frac { 11 } { 12 }$

Paper Questions

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