JEE Main20249 Apr 2024Morning ShiftMathematicsFunctionsActual

If the domain of the function f(x)= ⁻¹ ( x-1 2 x+3 ) is R -( , ) , then 12 is equal to :

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Correct answer

A. 32

Step-by-step solution

Domain of f(x)= ⁻¹ ( x-1 2 x+3 ) is aligned & 2 x+3 0 & x -3 2 and | (x-1) 2 x+3 | 1 & |x-1| |2 x+3| aligned aligned & For |2 x+3| |x-1| & x (- ,-4] (- 2 3 , ) & =-4 & =- 2 3 : 12 =32 aligned

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