Question

The domain of the function f(x) = 1/(log₁₀(1 - x)) + √(x + 2) is

(a) (– 3, –2) – {–2.5} 

(b) (0, 1) – {0. 5} 

(c) (– 2, 1) – {0} 

(d) None of these.

Answer 1

Correct option (c) (– 2, 1) – {0}

Explanation:

Given f(x) = 1/(log₁₀(1 - x)) + √(x + 2)

f is defined for (1 – x) > 0, (1 – x) ≠ 0, 1; x ≥ –2

⇒ x < 1, x ≠ 1, 0; x ≥ –2

⇒ [– 2, 1) – {0}