jee-main 2026 Q24

jee-main · India · session1_22jan_shift1 Composite & Inverse Functions Determine Domain or Range of a Composite Function
If the domain of the function $\frac { 1 } { \ln ( 10 - x ) } + \sin ^ { - 1 } \left( \frac { x + 2 } { 2 x + 3 } \right)$ is $( - \infty , - a ] \cup ( - 1 , b ) \cup ( b , c )$, then $( b + c - 3 a )$ is equal to
(A) $20 - \frac { 5 } { 3 }$
(B) $21$
(C) 23
(D) 24
If the domain of the function $\frac { 1 } { \ln ( 10 - x ) } + \sin ^ { - 1 } \left( \frac { x + 2 } { 2 x + 3 } \right)$ is $( - \infty , - a ] \cup ( - 1 , b ) \cup ( b , c )$, then $( b + c - 3 a )$ is equal to

(A) $20 - \frac { 5 } { 3 }$

(B) $21$

(C) 23

(D) 24