I have f(x)=6/(x-3) g(x)=1/x Find the domains of f(g(x)) and g(f(x)) with steps if possible. Thank you in advance, I really need your help.
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$f(x)$ is not defined at $x=3$. $g(x)$ is not defined at $x=0$. So, $f(g(x))$ is not defined at $x=0$ or at $g(x) = 3$. $g(f(x))$ is not defined at $x=3$ or at $f(x) = 0$. Can you finish from there?
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