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Find the domain of f(x) = cos–12x + sin–1x. |
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Answer» Domain of cos-1x lies in the interval [-1, 1]. Therefore, the domain of cos-1(2x) lies in the interval [-1, 1]. -1 ≤ 2x ≤ 1 \(\frac{-1}2\) ≤ x ≤ \(\frac 12\) Domain of cos-1(2x) is \([\frac{-1}2,\frac 12].\) Domain of sin-1(2x) + sin-1x lies in the interval \([\frac{-1}2,\frac 12].\) |
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