JEE Main202622 January 2026Evening ShiftMathematicsFunctionsActual

Let the domain of the function f(x)= ₃ ₅ (7- ₂ (x²-10 x+85 ) )+ ⁻¹ ( | 3 x-7 17-x | ) be ( , ] . Then + is equal to :

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Correct 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

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