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x<=8 is the domain of G(F(x))

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That is true only if the range of G is the set of real numbers. If the range of G is C,the complex field (and why should it not be?) than the domain of G can be any subset of C.

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Q: What is the domain of the function G of F of x when F of x equals 8 minus x G of y equals square root of y G of F of x equals square root of 8 minus x?
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