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  4. The domain of f(x) = (1/√x2 + 2x + 9) is

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Q. The domain of $f(x) = \frac{1}{\sqrt{x^2 + 2x + 9}}$ is

Relations and Functions

Solution:

$x^2 + 2x + 1 + 8 = ( x + 1)^2 + 8 > 0 \, \forall x \in R$