The domain of the function $$fx=lnx-1x2+4x+4$$ is

Correct option is 3-∞,-3∪-2,-1∪2,∞

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The domain of the function $f (x) = \sqrt{l n_{(|x| - 1)} (x^{2} + 4 x + 4)}$ is

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-3,-1∪1,2

-2,-1∪2,∞

-∞,-3∪-2,-1∪2,∞

none of these

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detailed solution

Correct option is C

Case I01 or x>2Then x2+4x+4≥1or x2+4x+3≥0or x≥-1 or x≤-3So, x∈-∞,-3∪2,∞From (1) and 2,x∈-∞,-3∪-2,-1∪2,∞.

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The domain of the function fx=lnx-1x2+4x+4 is

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The domain of the function $f (x) = \sqrt{l n_{(|x| - 1)} (x^{2} + 4 x + 4)}$ is