Finding domain for composite fcns: f(x) = 6/(x-3), g(x) = 1/x; f(g(x)), g(f(x))

[LuieJohn]

I have

f(x) = 6/(x-3)
g(x) = 1/x

How to find domains of

f(g(x)) and g(f(x) with steps if possible.

I really need your help.

 

[Deleted member 4993]

I have

f(x) = 6/(x-3)
g(x) = 1/x

How to find domains of

f(g(x)) and g(f(x) with steps if possible.

I really need your help.

What would be the domain of f(x)?

What would f[g(x)] look like?

 

[stapel]

I have

f(x) = 6/(x-3)
g(x) = 1/x

How to find domains of

f(g(x)) and g(f(x) with steps if possible.

You already have loads of worked examples in your textbook and in your class notes, in addition to the online resources you've accessed. So, if you're still stuck, we'll need to see where you're getting stuck.

Before you started working with the domains of composed functions, you studied the domains of "regular" functions, and you studied how to compose functions. So, to get things started, please reply with the domains of f(x) and g(x), and your results for simplifying f(g(x)) and g(f(x)).

Please be complete. Thank you!