Determine the set of all real numbers for which is defined.

MATHEMATICS · Single correct · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

Determine the set of all real numbers xx for which f(x)=arccos⁡(x2−45)f(x)=\arccos\left(\frac{x^2-4}{5}\right) is defined. (a) (−3, 3)(-3,\,3) (b) [−3, 3][-3,\,3] (c) [−5, 5]\left[-\sqrt{5},\,\sqrt{5}\right] (d) (−∞,−3]∪[3,∞)(-\infty,-3]\cup[3,\infty)

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