The domain of definition of the function is

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

Problem

The domain of definition of the function f(x)=log⁡(x2−5x−24−x−2)f(x)=\log\left(\sqrt{x^2-5x-24}-x-2\right) is (1) (−∞,−3](-\infty,-3] (2) (−∞,−3]∪[8,∞)(-\infty,-3]\cup[8,\infty) (3) (−∞,−289)\left(-\infty,-\frac{28}{9}\right) (4) None of these

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