The function f is defined by f: x 7 5 cos 2x for 0

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The function f is defined by f: x ↦ 7 − 5 cos 2x for 0 ≤ x ≤ π. The function g is defined by g: x ↦ x + π/2 for 0 ≤ x ≤ π.

a) State the range of f.

b) Sketch the graph of y = f(x).

c) Find the function fg.

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