# Try it

Algebra Level 3

Let $$f(x)$$ be a function such that $$f(x)=|x^2-4|-1$$ and $$g(x)$$ a function such that $$g(x)=\sqrt{f(x)}$$. The domain of $$g(x)$$ can be written as $$(-\infty,-\sqrt{a}] \cup [-\sqrt{b},\sqrt{c}] \cup [\sqrt{d},+\infty)$$. Find the value of $$a+b+c+d$$

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