The function f(x) = 4 2 cos x is defined for the domain 0 x

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The function f(x) = 4 − 2 cos x is defined for the domain 0 ≤ x ≤ π.
a. Find the range of f and sketch the graph of y = f(x).
b. Explain why f has an inverse and find the equation of this inverse.
c. Sketch the graph of y = f −1(x)  on your graph for part a.

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