Find the domain of each of the following functions:f(x) = sin-1x2 – InterviewSolution

1.

Find the domain of each of the following functions:f(x) = sin-1x2

Answer»

Domain of sin^-1 lies in the interval [–1, 1].

Therefore domain of sin^-1x²lies in the interval [–1, 1].

–1 ≤ x² ≤ 1

But x² cannot take negative values,

So, 0 ≤ x²≤ 1

-1 ≤ x≤ 1

Hence domain of sin^-1x² is [–1, 1].

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