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Algebra Level pending

Let\(f:[0,4\Pi ]\xrightarrow { } [0,\Pi ]\) be defined by \(f(x)=cos{ }_{ }^{ -1 }(cos\quad x)\). The number of points \(x\in [0,4\Pi ]\) satisfying the equation \(f(x)=\cfrac { 10-x }{ x } \)

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