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what is the inverse function of f(x)=-[sqrt(25-x^2]

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It might look like it'd be
y = sqrt(25 - x^2)
The problem is that each quarter-circle has its own inverse.

There is no inverse function for the lower half-circle, since each y-value has two x-values. When trying to invert f(x), there is no way to decide which to pick.

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