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If g(x) = √(1-x\(^2\)), find the domain of g(x)

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Further Mathematics WAEC 2022

If g(x) = √(1-x\(^2\)), find the domain of g(x)

  • x < -1 or x > 1
  • x ≤ -1 or x ≥1
  • -1 ≤ x ≤ 1 checkmark
  • -1 < x < 1

The correct answer is: C

Explanation

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

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