The domain of the function \( f(x)=\frac{\cos ^{-1}\left(\frac{x^{2}-5 x+6}{x^{2}-9}\right)}{\lo...
The domain of the function \( f(x)=\frac{\cos ^{-1}\left(\frac{x^{2}-5 x+6}{x^{2}-9}\right)}{\log _{e}\left(x^{2}-3 x+2\right)} \) is
(a) \( (-\infty,-1) \cup(2, \infty) \)
(b) \( (2, \infty) \)
(c) \( \left[-\frac{1}{2}, 1\right) \cup(2, \infty) \)
(d) \( \left[-\frac{1}{2}, 1\right) \cup(2, \infty)-\left\{\frac{3+\sqrt{5}}{2}, \frac{3-\sqrt{5}}{2}\right\} \)
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