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WAEC Further Mathematics 2022 Objective — Question 24

Question 24 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2022 Objective paper, with the correct answer and a full explanation.

If 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≤1Correct
D. −1<x<1

Explanation

For g(x) to be defined, 1−x²≥0, i.e. (1−x)(1+x)≥0, which holds for −1≤x≤1.

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