JEE Main 2024 Mathematics question
If the domain of the function is (α, β], then the value of 5β – 4α is equal to
Answer: (C)
Solution
The log needs (2x + 3)/((4x − 3)(x + 1)) > 0, so x ∈ (−3/2, −1) ∪ (3/4, ∞). The inverse cosine needs −1 ≤ (2x − 1)/(x + 2) ≤ 1, giving x
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