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Math Help - Interval notation

  1. #1
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    Interval notation

    Write the domain in interval notation notation and determine the y-intercept.

    g(x)= x - 3

    f(x)= 1/ x-3

    Thanks.
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by rowdy3 View Post
    Write the domain in interval notation notation and determine the y-intercept.

    g(x)= x - 3

    f(x)= 1/ x-3

    Thanks.
    For g(x) there are no restrictions on the domain so the domain would be ( -\infty, \infty ). You do the range.

    For f(x) I presume you mean
    f(x) = \frac{1}{x - 3}
    PLEASE use parenthesis!!

    Here the domain is all reals except for x = 3, so that would be (-\infty, -3) \cup (-3, \infty ). Again I will leave the range to you. (Hint: What value can f(x) not take?)

    -Dan
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  3. #3
    Member Jonboy's Avatar
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    as to finding the y - intercept, think about it. if it intersects the y - axis, then it's gonna have an x - coordinate of zero. so plug in zero for x to find the y - intercept.
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