The domain of the function is

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

The domain of the function f(x)=sin⁡−1(3−x)ln⁡(∣x∣−2)f(x)=\frac{\sin^{-1}(3-x)}{\ln(|x|-2)} is (a) [2,4][2,4] (b) (2,3)∪(3,4](2,3)\cup(3,4] (c) [2,∞)[2,\infty) (d) (−∞,−3)∪[2,∞)(-\infty,-3)\cup[2,\infty)

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