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Thread: Domain of Each Variable

  1. #1
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    Domain of Each Variable

    Specific the domain of each variable.

    1. x + x^(-1)

    Clearly, x is the only variable. We can write question 1 like this: x + 1/x. Is this right?

    I will say that x can be any number except 0.
    So, the domain is ALL REAL NUMBERS EXCEPT 0 since zero in the denominator of a fraction does not exist. Is this correct?

    2. t^(-1) + 2t^(-2)

    Question 2 can be written as (1/t) + 2/(t^2). Correct?

    Clearly t is the only variable. I know that t can be any number except zero.

    In conclusion, the domain is ALL REAL NUMBERS EXCEPT FOR 0. Is this right?
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  2. #2
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    Re: Domain of Each Variable

    Yes, both are correct. And, yes, t^{-n}= 1/t^n.
    Thanks from mathdad1965
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    Re: Domain of Each Variable

    Thank you.
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