If the domain of the function sin − 1 ( 2 x − 19 3 x − 22 ) + lo g e ( x 2 − 3 x − 10 3 x 2 − 8 x + 5 ) is ( α , β ] , then 3 α + 10 β is equal to:

Question

If the domain of the function sin − 1 ( 2 x − 19 3 x − 22 ​ ) + lo g e ​ ( x 2 − 3 x − 10 3 x 2 − 8 x + 5 ​ ) is ( α , β ] , then 3 α + 10 β is equal to:

TestHub · Accepted Answer

− 1 ≤ 2 x − 19 3 x − 22 ​ ≤ 1 x ∈ ( 5 , 5 41 ​ ] 3 α + 10 β = 97 ​ x 2 − 3 x − 10 3 x 2 − 8 x + 5 ​ > 0 ​

Mathematics - Functions Question with Solution | TestHub

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