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Math Help - domain of function help

  1. #1
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    domain of function help

    The domain of a function f is the largest subset of R at which f can be defined. write the domain of the following function in interval notation i.e using

    [,(,),] , U n , \

     f(x) = \sqrt{(x+2)}

     f(x) = tan \pi x


    I know for the first one, in order for it to be defined in the set of reals, it cannot be negative, so i have to exclude all numbers that are going to make that function negative, but i dont know how to write this in 'interval notation'

    and no idea how to go about the second one, any help appreciated
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  2. #2
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    Re: domain of function help

    Quote Originally Posted by Tweety View Post
    The domain of a function f is the largest subset of R at which f can be defined. write the domain of the following function in interval notation i.e using

    [,(,),] , U n , \

     f(x) = \sqrt{(x+2)}

     f(x) = tan \pi x


    I know for the first one, in order for it to be defined in the set of reals, it cannot be negative, so i have to exclude all numbers that are going to make that function negative, but i dont know how to write this in 'interval notation'

    and no idea how to go about the second one, any help appreciated
    The simplist: x + 2 >= 0 ==> x >= -2

    Sketch the graph of tan(pi*x) over one period and conclude the domail over one period.
    Thanks from Tweety
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  3. #3
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    Re: domain of function help

    Quote Originally Posted by Tweety View Post
    The domain of a function f is the largest subset of R at which f can be defined. write the domain of the following function in interval notation i.e using [,(,),] , U n , \
     f(x) = \sqrt{(x+2)}
    If you follow the directions then [-2,\infty)=\mathbb{R}\setminus (-\infty,-2).
    Thanks from Tweety and topsquark
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  4. #4
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    Re: domain of function help

    thank you, i understand now
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