Functions
The domain of the function f(x) = √(9 - x²) is
Select the correct option:
Solution
[-3, 3]
- Constraint for Square Root: The expression inside the radical must be non-negative for a real-valued function.
- 9−x2≥0
- Inequality Solving:
- x2≤9
- x2≤9⟹∣x∣≤3.
- Interpretation: This means −3≤x≤3.
- Domain: The valid input set is [−3,3].
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About This Question
- Subject
- mathematics
- Chapter
- sets, relations and functions
- Topic
- functions
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
[-3, 3]
- Constraint for Square Root: The expression inside the radical must be non-negative for a real-valued function.
- 9−x2≥0
- Inequality Solving:
- x2≤9
- x2≤9⟹∣x∣≤3.
- Interpretation: This means −3≤x≤3.
- Domain: The valid input set is [−3,3].
This easy difficulty mathematics question is from the chapter sets, relations and functions, covering the topic of functions. It appeared in the 2025 exam.
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