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If the domain of the function f(x) = log e (4x 2 + 11x + 6) + sin –1 (4x + 3) + cos –1 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + 3 6 x 10 is ( α , β ], then 36| α + β | is equal to-

1. 54
2. 72
3. 63
4. 45

Correct answer: 45

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