Let f(x)=log2(sin2(x)+cos2(x)+3sin(2x))f(x) = \log_2(\sin^2(x) + \cos^2(x) + \sqrt{3}\sin(2x))f(x)=log2(sin2(x)+cos2(x)+3sin(2x)). What is the domain of f(x)f(x)f(x)?
x∈(kπ,kπ+π2)x \in (k\pi, k\pi + \frac{\pi}{2})x∈(kπ,kπ+2π)
x∈(kπ−π12,kπ+7π12)x \in (k\pi - \frac{\pi}{12}, k\pi + \frac{7\pi}{12})x∈(kπ−12π,kπ+127π)
x∈(kπ−π6,kπ+π3)x \in (k\pi - \frac{\pi}{6}, k\pi + \frac{\pi}{3})x∈(kπ−6π,kπ+3π)
x∈(kπ,kπ+π3)x \in (k\pi, k\pi + \frac{\pi}{3})x∈(kπ,kπ+3π)