Question
Download Solution PDFThe domain of the function \(\mathbf{f}(\mathbf{x})=\frac{1}{\sqrt{9-\mathrm{x}^{2}}}\) is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept Used:
The expression inside the square root must be non-negative.
The denominator cannot be zero.
Calculation:
For f(x) to be defined, the following conditions must be met:
1) 9 - x² > 0 (because it's inside a square root and in the denominator)
⇒ x² < 9
⇒ -3 < x < 3
∴ The domain of the function f(x) is -3 < x < 3.
Hence option 2 is correct
Last updated on Jul 3, 2025
->Vellore Institute of Technology will open its application form for 2026 on November 4, 2025.
->The VITEEE 2026 exam is scheduled to be held from April 20, 2026 to April 27, 2026.
->VITEEE exams are conduted for admission to undergraduate engineering programs at the Vellore Institute of Technology (VIT) and its affiliated campus.
->12th pass candidates can apply for the VITEEE exam.