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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
  • C. -1 < x < 1
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Correct Answer: Option C
Explanation

1 - x\(^2\) ≥ 0
-x\(^2\) ≥ -1
x\(^2\) ≤ 1
√x\(^2\) ≤ 1
|x| ≤ 1
-1 ≤ x ≤ 1

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