Find the domain of
sec–1 (3x–1)
The range of sec x is the domain of sec–1x
Now,
The range of sec x is (–∞, –1] ⋃ [1, ∞)
∴ The domain of a given function would be
3x–1 ≤ –1 and 3x–1 ≥ 1
3x ≤ 0 and 3x ≥ 2
x ≤ 0 and x ≥
∴ The domain of the given function is (–∞,0]⋃[,∞)