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in Differential equations by (50.2k points)

Find the domain of f(x) = sin–1(3x + 4)

1 Answer

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We have f(x) = sin–1(3x + 4)

⇒ - 1 ≤ 3x + 4 ≤ 1

⇒ - 5 ≤ 3x ≤ - 3

⇒ 5/3 ≤ x ≤ - 1

⇒ x ∈ [-5/3, - 1]

Thus, Df = [- 5/3, -1]

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