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Let f:[0,4pi]vec[0,pi] be defined by f(x...

Let `f:[0,4pi]vec[0,pi]` be defined by `f(x)=cos^(-1)(cosx)dot` The number of points `x in [0,4pi]s a t i sfy ingt h e` equation `f(x)=(10-x)/(10)` is____

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`f:[0,4opi]to[0,pi],f(x)m = cos^(-1)(cosx)`.
For the number of roots of th equation `cos^(-1) (cos x) = (10-x)/(10)` , draw the graph of `y=cos^(-1)(cos x)" and "y=(10-x)/(10)`and find the number points of intersections.

From the graph, the number of solution is 3.
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