For , determine the range of the function…

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

Problem

2. For x∈[−1,1]x\in[-1,1], determine the range of the function f(x)=3+arcsin⁡xf(x)=3+\arcsin x. (a) (3−π2, 3+π2)(3-\tfrac{\pi}{2},\,3+\tfrac{\pi}{2}) (b) [3−π, 3+π][3-\pi,\,3+\pi] (c) [3−π2, 3+π2][3-\tfrac{\pi}{2},\,3+\tfrac{\pi}{2}] (d) [2, 4][2,\,4]

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