The domain of definition of is:

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

Problem

The domain of definition of f(x)=sin⁡−1(∣x−1∣−2)f(x) = \sin^{-1}(|x-1|-2) is: (a) [−2,0]∪[2,4][-2, 0] \cup [2, 4] (b) (−2,0)∪(2,4)(-2, 0) \cup (2, 4) (c) [−2,0]∪[1,3][-2, 0] \cup [1, 3] (d) (−2,0)∪(1,3)(-2, 0) \cup (1, 3)

Related theory

Browse the problem library