jee-main 2026 Q30

jee-main · India · session1_24jan_shift2 Composite & Inverse Functions Determine Domain or Range of a Composite Function
The domain of $\operatorname { Sin } ^ { - 1 } \left( \frac { 1 } { x ^ { 2 } - 2 x - 1 } \right)$ is $( - \infty , \alpha ] \cup [ \beta , \gamma ] \cup [ \delta , \infty )$.
The value of $\alpha + \beta + \gamma + \delta$ is equal to:
The domain of $\operatorname { Sin } ^ { - 1 } \left( \frac { 1 } { x ^ { 2 } - 2 x - 1 } \right)$ is $( - \infty , \alpha ] \cup [ \beta , \gamma ] \cup [ \delta , \infty )$.

The value of $\alpha + \beta + \gamma + \delta$ is equal to: