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Domain is all real numbers. $f(x) = \sqrt{x - 3}$. The book's answer is "all non negative real numbers". But this includes all values between 0 and 3. Squareroot of negative number doesn't exist in real number set.

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    @okel$v$in: In fact, please do as J.M. suggests: $w$$r$ite out you$r$ solution as an answer. Then you can later even accept it!2011-10-16

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Confused domain and image. Domain is [3, $+\infty$). Range is: what's the lowest value that the function can return? f(3) = 0, then the book's answer is right.