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Math Help - Inverse trig domain

  1. #1
    Senior Member Stroodle's Avatar
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    Inverse trig domain

    Hi,

    How would I go about finding the implied domain of f(x)=1+cos^{-1}(3x) ?

    Thanks for your help!
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  2. #2
    Super Member Failure's Avatar
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    Quote Originally Posted by Stroodle View Post
    Hi,

    How would I go about finding the implied domain of f(x)=1+cos^{-1}(3x) ?
    First I would scan for terms that might have a limited domain. The constant part 1 is not a problem, nor is 3x, but the domain of \cos^{-1} is [-1;+1].
    So the (implied) domain of your function is the set \{x\in \mathbb{R} : 3x\in [-1;+1]\}=[-1/3;+1/3]
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