Determine the domain of the function .

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

Problem

5. Determine the domain of the function f(x)=arcsin⁡ ⁣(2x−1x+2)f(x)=\arcsin\!\left(\dfrac{2x-1}{x+2}\right). (a) (−13, 3](-\tfrac{1}{3},\,3] (b) (−∞,−2)  ∪  [−13, 3](-\infty,-2)\;\cup\;[-\tfrac{1}{3},\,3] (c) [−13, 3]\bigl[-\tfrac{1}{3},\,3\bigr] (d) (−2, 3](-2,\,3]

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