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Find the domain of
sec–1 x–tan–1x
Domain of sec–1x is (–∞,–1]⋃[1,∞)
Domain of tan–1x is ℝ
Union of (1) and (2) will be domain of given function
(–∞,–1]⋃[1,∞)⋃ℝ
⇒ (–∞,–1]⋃[1,∞)
∴ The domain of given function is (–∞,–1]⋃[1,∞).