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Math Help - Domain

  1. #1
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    Domain

    find the domain of -4sin(3x)
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  2. #2
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    sin(x) is defined for all real numbers, so are sin(3x) and -4sin(3x)
    Last edited by papex; May 28th 2010 at 08:14 PM.
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  3. #3
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    Quote Originally Posted by papex View Post
    sin(x) is defined for all real numbers, so are sin(3x) and -4sinsin(3x)
    I want to find the domain of -4 sin (3x).
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  4. #4
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    Hello winsome

    Do you understand what is meant by the word domain of a function? It is the set of valid inputs to that function. For example, the domain of \sqrt x is the set of non-negative numbers.

    Now, as papex has said, \sin x, and therefore \sin3x and -4\sin 3x, are defined for all values of x. In other words, the domain of these functions is the set of all real numbers.

    There are various ways of writing this set. One is to use the symbol \mathbb{R}. Another is to use interval notation: (-\infty, +\infty).

    Grandad
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