# Inverse & Composite

Algebra Level 2

Let $f(x)= \begin{cases} 1-\sqrt{x} & \text{ if } x\geq 0 \\ \sqrt{1-x} & \text{ if } x<0. \end{cases}$ If $$(f^{-1}\circ f^{-1})(a)=100,$$ where $$a$$ is a constant, what is the value of $$a^2?$$

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