RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 3 of Exercise 4.4

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3

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][,∞)


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