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Explanation:

f(x) = 3sinx + 3cos x

Using the inequality, AM ≥ GM

f(x) will have a minimum

where 3 sin x = 3 cos x

∴ sin = cos x

∴ sin = cos x = -12

f(x)min3-12 + 3-12

= 23-12

Hence, option (b).

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