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JEE Main202622 January 2026Morning ShiftMathematicsFunctionsActual

If the domain of the function f(x)= ⁻¹ ( 5-x 3+2 x )+ 1 _ e (10-x) is (- , ] [ , )- , then 6( + + + ) is equal to

Options

  1. A67
  2. B66
  3. C70
  4. D68

Correct 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

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