anonymous
  • anonymous
Let f(x) = sin-1x. Then, the domain of f(x) is [-1,1] and the range is all real numbers. True or False
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Is it false?
mathstudent55
  • mathstudent55
The range of sin x is [-1, 1] That means the domain of \(\sin ^{-1} x \) is [-1, 1]. The domain is correct.
anonymous
  • anonymous
so True?

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mathstudent55
  • mathstudent55
The domain is correct, but the range is not. The range of the inverse sine function is limited to \([ -\dfrac{\pi}{2}, \dfrac{\pi}{2} ]\) The range is incorrect, so the answer must be false.
anonymous
  • anonymous
Thanks:)
mathstudent55
  • mathstudent55
You're welcome.

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