Question

The domain of the function f (x) = (x - 3)/(x - 1)√x² - 4 is

(A)   (1, 2)

(B)  (−∞,-2) ∪ (2,∞)

(C)  (−∞,-2) ∪(1,∞)

(D)  (−∞ ∞) − {1,±2}

Answer 1

Correct option (B)  (−∞,-2) ∪ (2,∞)

Explanation :

Obviously, here |x| >2  and x ≠ 1, that is, x ∈ ( -∞,−2)∪ (2, ∞).