Find the domain of

sec–1 x–tan–1x

Domain of sec–1x is (–∞,–1][1,∞)


Domain of tan–1x is


Union of (1) and (2) will be domain of given function


(–∞,–1][1,∞)


(–∞,–1][1,∞)


The domain of given function is (–∞,–1][1,∞).


3