Question 24
FunctionsIf g(x) = √(1 − x2), 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
Show the answer and explanation
Answer: C (−1 ≤ x ≤ 1)
Explanation
We need 1 − x² ≥ 0, i.e. x² ≤ 1, so −1 ≤ x ≤ 1.
If g(x) = √(1 − x2), find the domain of g(x).
Answer: C (−1 ≤ x ≤ 1)
We need 1 − x² ≥ 0, i.e. x² ≤ 1, so −1 ≤ x ≤ 1.