JEE Main 2024 Mathematics question
If the domain of the function is (−∞, α) ∪ [β, ∞), then α² + β³ is equal to:
Answer: (B)
Solution
x² ≥ 25 and x² + 2x − 15 > 0 give x < −5 or x ≥ 5, so α = −5 and β = 5: 25 + 125 = 150.
If the domain of the function is (−∞, α) ∪ [β, ∞), then α² + β³ is equal to:
x² ≥ 25 and x² + 2x − 15 > 0 give x < −5 or x ≥ 5, so α = −5 and β = 5: 25 + 125 = 150.