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

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

Relations and Functions - Part 2

Solution:

$x+2 \geq 0 \Rightarrow x \geq-2 $
$x^2-9 \neq 0 \Rightarrow x \neq \pm 3$
$[-2,3) \cup(3, \infty$