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Math Help - Domain and range?

  1. #1
    Rui
    Rui is offline
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    Domain and range?

    Also i don't get what does 1-1 mean ?

    t(x) = arctan (2x)

    I'm not sure if this is right. But i got domain= all real x, where x doesn't = 0. I have no idea about the range.
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  2. #2
    Flow Master
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    Quote Originally Posted by Rui View Post
    Also i don't get what does 1-1 mean ?

    t(x) = arctan (2x)

    I'm not sure if this is right. But i got domain= all real x, where x doesn't = 0. I have no idea about the range.
    1-1 probably means "one-to-one", a term you ought to be familiar with.

    x = 0 is OK for the domain! arctan(0) = 0 and all is well. The domain is all real x.

    The range is (-pi/2, pi/2). That's easy to see if you consider the domain of the inverse of t(x), that is, (1/2) tan (x) ....
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