“Find the Domains of f(x) =log₄(log₃ log₇(8 – log₂(x² + 4x + 5))) and g(x) = sin⁻¹((7x + 10)/(x – 2)
Автор: VERTEX MATH JEE
Загружено: 2025-05-25
Просмотров: 323
Описание:
In this video, we solve a challenging JEE-level question:
Find the domains of the functions:
f(x) = log₄(log₃log₇(8 – log₂(x² + 4x + 5)))
g(x) = sin⁻¹((7x + 10)/(x – 2))
We will:
• Find the domain of the logarithmic function f(x).
• Find the domain of the inverse sine function g(x).
• Determine the intersection of these domains.
• Finally, calculate the sum of squares of the interval endpoints.
This problem is perfect for JEE Main and Advanced aspirants. Watch the full video for clear explanations and tips to solve similar domain questions!
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