Question

If f(x) = √(sec^-1[(2-|x|)/4], then the domain of f(x) is

(A)  [−2, 2]

(B)  [−6, 6]

(C)  (−∞, −6] ∪ [6, ∞)

(D)  [−6, −2] ∪ [2, 6]

Answer 1

Correct option (C)  (−∞, −6] ∪ [6, ∞)

Explanation :

We have

Therefore, x ≥ 6 or x ≤ –6 and thus the domain is (–∞,–6] ∪ [6, ∞).