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Practice problem

Domain of Inverse Function

By Amy Feraco
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The inverse of f(x)=cos⁡(x)f(x)=\cos{(x)} is f−1(x)=arccos⁡(x)f^{-1}(x)=\arccos{(x)} or f−1(x)=cos⁡−1(x)f^{-1}(x)=\cos^{-1}{(x)}.

What is the domain and range of the inverse if the domain of f(x)=cos⁡(x)f(x)=\cos{(x)} is [0,π][0,{\pi}] and the range is [−1,1][-1,{1}]?

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