What will be the domain of the function, if 3x + 3f(x) = minimum of Φ(t), where Φ(t) = minimum of (2t3 – 15t2 + 36t – 25, 2 + |sint|; 2 ≤ t ≤ 4} ?

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What will be the domain of the function, if 3<sup>x</sup> + 3<sup>f(x)</sup> = minimum of Φ(t), where Φ(t) = minimum of (2t<sup>3</sup> – 15t<sup>2</sup> + 36t – 25, 2 + |sint|; 2 ≤ t ≤ 4} ?