Find the domain of the function f(x) = _ | x| (x^2 - 8x + 23) - 3 _2 | x| .

MATHEMATICS · Subjective · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

Find the domain of the function f(x)=log⁡{log⁡∣sin⁡x∣(x2−8x+23)−3log⁡2∣sin⁡x∣}.f(x) = \log \left\{ \log_{|\sin x|} (x^2 - 8x + 23) - \frac{3}{\log_2 |\sin x|} \right\}.

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