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Math Help - Finding Domain & Range

  1. #1
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    Finding Domain & Range

    Hi
    How would you find the domain and range of cos^{-1}(x^2) if the domain of cos(x) is restricted to [0,\pi].

    P.S
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  2. #2
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    Hello Paymemoney
    Quote Originally Posted by Paymemoney View Post
    Hi
    How would you find the domain and range of cos^{-1}(x^2) if the domain of cos(x) is restricted to [0,\pi].

    P.S
    Edited version: second thoughts about my first answer.

    In Britain, the inverse cosine function is almost always written as \cos^{-1}, whereas \arccos is widely used elsewhere. Since I posted my original answer, it occurred to me that I interpreted \cos^{-1}(x^2) as the inverse cosine of x^2, whereas the question might mean \Big(\cos(x^2)\Big)^{-1} =\frac{1}{\cos(x^2)}. Also, I am not clear how the domain of \cos(x) being restricted to [0,\pi] is relevant.

    So, unless someone can clarify what the question means, I'll keep quiet!

    Grandad
    Last edited by Grandad; January 14th 2010 at 11:41 PM. Reason: Second thoughts!
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