JEE Main20253 Apr 2025Evening ShiftMathematicsFunctionsActual

If the domain of the function f(x)= ₇ (1- ₄ (x^2-9 x+18 ) ) is ( , ) ( , ) , then + + + is equal to

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Correct answer

A. 18

Step-by-step solution

aligned & Domain 1- ₄ (x^2-9 x+18 ) 0 & Also x^2-9 x+18 0 & (x-3)(x-6) 0 aligned x (- , 3) (6, ) ...(1) aligned & also x^2-9 x+18 4 & x^2-9 x+14 0 aligned x (2,7) ...(2) aligned & (1) (2) (2,3) (6,7)=( , ) ( , ) & + + + =18 aligned

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