If g(x) = √(1-x\(^2\)), find the domain of g(x)
FURTHER MATHEMATICS
WAEC 2022
If g(x) = √(1-x\(^2\)), find the domain of g(x)
- A. x< -1 or x > 1
- B. x ≤ -1 or x ≥ 1
- C. -1 ≤ x ≤ 1
- D. -1< x< 1
Correct Answer: C. -1 ≤ x ≤ 1
Explanation
1 - x\(^2\) ≥ 0
-x\(^2\) ≥ -1
x\(^2\) ≤ 1
√x\(^2\) ≤ 1
|x| ≤ 1
-1 ≤ x ≤ 1
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