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Question

The domain of the real function fx=x9x2 is ___________.

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Solution

Given: fx=x9x2

To find the domain, we find the real values of x for which the function is defined.

xR and 9-x2>0xR and 9>x2xR and x2<9xR and -3<x<3-3<x<3x-3, 3

Hence, the domain of the real function fx=x9x2 is (−3, 3).

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