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The domain of the function
$f (x) = \frac{\sqrt{- \log_{0.3} (x - 1)}}{\sqrt{- x^{2} + 2 x + 8}}$ is

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(1, 4)

(-2, 4)

(2, 4)

none of these

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detailed solution

Correct option is C

Since for, 01so log0.3⁡(x−1)<0 for x>2 Also −x2+2x+8>0 ifand only if x∈(−2, 4) Hence the domain of the given. function is (2, 4).

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The domain of the functionf(x)=−log0.3⁡(x−1)−x2+2x+8 is

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The domain of the function
$f (x) = \frac{\sqrt{- \log_{0.3} (x - 1)}}{\sqrt{- x^{2} + 2 x + 8}}$ is