Question
If the domain of the function f(x)= ^ -1 ( 5-x 3+2 x )+ 1 _ e (10-x) is (- , ] [ , )-\ \ , then 6( + + + ) is equal to
JEE Main
Mathematics
Functions
2026
JEE Main 2026 (22 January Shift 1)
JEE Main Mathematics Question (2026) — Solution
Options
- A. 67
- B. 66
- C. 70
- D. 68
Answer
C. 70
Step-by-step solution
-1 5-x 2x+3 & 10 - x > 0, 10 - x 1 | 5-x 2x+3 | 1 & x (5-x)^2 - (2x+3)^2 0 & x (x+8)(3x-2) 0 & x (- , -8] [ 2 3 , 10 ) - \ 9\ ( + + + ) = 6 (-8 + 2 3 + 10 + 9 ) = 70
Related: Mathematics — Functions · All PYQ Banks