Q3 of 303 Page 4

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,∞).


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