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To an extent, the answer depends on what the range is.

The domain can be the set of complex numbers, with the range also the complex numbers.

The domain can be the whole of the real numbers if the range can be complex.

If the range needs to be real, then the domain must be the real numbers excluding the interval (0,9).

As the range is restricted (rational, integer), the domain will also shrink.

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Q: What is the domain of the square root of x mulitplied by x-9?
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