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The domain of the function f(x) = √(-log0.3(x - 1))/√(-x^2 + 2x + 8) (a) (2, 4)

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The domain of the function f(x) = √(-log0.3(x - 1))/√(-x2 + 2x + 8)

(a) (2, 4)

(b) (-2, 4)

(c) [2, 4)

(d) [-2, 4)

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1 Answer

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Best answer

The correct option (a) (2, 4)

Explanation:

log0.3 (x – 1) < 0 for x > 2 also –x2 + 2x + 8 > 0 

if and only if x ∈ (–2, 4), Hence the domain of the given function is (2, 4)

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