Define the functions $f(x)$ and $g(x)$ such that $f(x)=2x$ and $g(x)=\sqrt{x+3}$. For all $x$ such that $x\geq -3$, which of the following expressions is equal to $f(g(x))$ ?

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$$f(x) = 2x$$ $$f(g(x)) = 2(\sqrt{x+3})$$ $$=\boxed{2\sqrt{x+3}}$$