Value of a composite function

Geometry Level 3

If g(x)=(4cos4x2cos(2x)12cos(4x)x7)17g(x)=\left( 4\cos^4x-2\cos(2x)-\frac{1}{2}\cos(4x)-x^7 \right)^{\frac{1}{7}}, then find the value of g(g(100))g(g(100)).

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