FunctionHard
Question
The domain of the function f(x) = 
is
is Options
A.(1, 4)
B.(- 2, 4)
C.(2, 4)
D.[2, ∞)
Solution
For domain - log0.3(x - 1) ≥ 0 and x2 + 2x + 8 > 0
⇒ log0.3(x - 1) ≤ 0 and ⇒ (x + 1)2 + 7 > 0
⇒ (x - 1) ≥ 1 and ⇒ x ∈ R
⇒ x ≥ 2
Taking intersection x ∈ [2, ∞)
⇒ log0.3(x - 1) ≤ 0 and ⇒ (x + 1)2 + 7 > 0
⇒ (x - 1) ≥ 1 and ⇒ x ∈ R
⇒ x ≥ 2
Taking intersection x ∈ [2, ∞)
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