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(vi) \( f(x)=\log _{10}\left(1-\log _{7}\left(x^{2}-5 x+13\right)\right)+\cos ^{-1}\left(\frac{3}{2+\sin \frac{9 \pi x}{2}}\right) \)

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(vi) \( f(x)=\log _{10}\left(1-\log _{7}\left(x^{2}-5 x+13\right)\right)+\cos ^{-1}\left(\frac{3}{2+\sin \frac{9 \pi x}{2}}\right) \)
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