Question
Let the domain of the function f(x)= _ 3 _ 5 (7- _ 2 (x^ 2 -10 x+85 ) )+ ^ -1 ( | 3 x-7 17-x | ) be ( , ]. Then + is equal to :
JEE Main
Mathematics
Functions
2026
JEE Main 2026 (22 January Shift 2)
JEE Main Mathematics Question (2026) — Solution
Options
- A. 9
- B. 10
- C. 12
- D. 8
Answer
A. 9
Step-by-step solution
For _3 _5( ) we need _5( )>0 So 7- _2(x^2-10x+85)>1, giving x^2-10x+85 (x-3)(x-7) 3 For ^ -1 ( | 3x-7 17-x | ) we need |3x-7| |17-x| i.e, (x-6)(x+5) 0 -5 x 6. Intersection: (3,6], so =3, =6. + =9
Related: Mathematics — Functions · All PYQ Banks