# Thread: Finding domain for composite functions

1. ## Finding domain for composite functions

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.

2. ## Re: Finding domain for composite functions

$f(x)$ 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?