The domain of is

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

Problem

The domain of f(x)=sin⁡−1(∣x∣+5x2+1)f(x)=\sin^{-1}\left(\frac{|x|+5}{x^2+1}\right) is (−∞,−a]∪[a,∞)(-\infty,-a]\cup[a,\infty). Then aa is equal to: (a) 1+172\frac{1+\sqrt{17}}{2} (b) 172+1\frac{\sqrt{17}}{2}+1 (c) 17−12\frac{\sqrt{17}-1}{2} (d) 172\frac{\sqrt{17}}{2}

Related theory

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