Question

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Answer 1

correct
\((\frac{f}{g})(x)=\frac{f(x)}{g(x)}=\frac{3x-6}{x-2}\)

the domain is all the allowed \(x\) values, and we note that the denominator can not be \(0\).

so \(x-2\ne0\implies x\ne 2\)

so domain is \(D=\{x: \ x\ne 2\}\)

Understand?