Meaning of "the domain of the inverse of $y^2+x^2-4=0$ is equal to the range of $f(y)=\sqrt{-y^2+4}$"?

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says:

The domain of the inverse of $y^2+x^2-4=0$ is equal to the range of $f(y)=\sqrt{-y^2+4}$.

Why/where there is the inverse and why is it equal to the range?