jee-main 2025 Q71

jee-main · India · session2_02apr_shift1 Composite & Inverse Functions Determine Domain or Range of a Composite Function
Q71. If the domain of the function $\sin ^ { - 1 } \left( \frac { 3 x - 22 } { 2 x - 19 } \right) + \log _ { \mathrm { e } } \left( \frac { 3 x ^ { 2 } - 8 x + 5 } { x ^ { 2 } - 3 x - 10 } \right)$ is $( \alpha , \beta ]$, then $3 \alpha + 10 \beta$ is equal to:
(1) 100
(2) 95
(3) 97
(4) 98
Q71. If the domain of the function $\sin ^ { - 1 } \left( \frac { 3 x - 22 } { 2 x - 19 } \right) + \log _ { \mathrm { e } } \left( \frac { 3 x ^ { 2 } - 8 x + 5 } { x ^ { 2 } - 3 x - 10 } \right)$ is $( \alpha , \beta ]$, then $3 \alpha + 10 \beta$ is equal to:\\
(1) 100\\
(2) 95\\
(3) 97\\
(4) 98