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Math Help - domain of function

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    domain of function

    Im not quite sure how to find the domain on the function f(x)=the square root of x squared-4
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    Quote Originally Posted by bastropgarl View Post
    Im not quite sure how to find the domain on the function f(x)=the square root of x squared-4
    f(x) \geq 0 therefore \sqrt{x^2-4} = \sqrt{(x-2)(x+2)} \geq 0

    Solve for x.
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  3. #3
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    Quote Originally Posted by bastropgarl View Post
    Im not quite sure how to find the domain on the function f(x)=the square root of x squared-4
    Hi bastropgarl,

    f(x)=\sqrt{x^2-4}

    The domain is all values of x such that x^2-4 \ge 0

    This graph has x-intercepts are -2 and +2.

    The domain will be the values to the left of -2 and to the right of +2. The values between -2 and +2 are not part of the domain. For instance, zero is not in the domain.

    Domain = \{x|x \ge 2 \ \ or \ \ x \le -2\}
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