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If the domain of the function ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − − + − + ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − − − 10 x 3 x 5 x 8 x 3 log 19 x 2 22 x 3 sin 2 2 e 1 is ( α , β ], then 3 α + 10 β is equal to-

1. 97
2. 100
3. 95
4. 98

Correct answer: 97

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