Find (F*G)(X) and the domain of (F*G)

[trip20]

Given F(x)= 7/(x-4) and G(x)= 2/x, find (F*G)(x) and the domain of (F*G)?

I got F(G(X)) = 7x/(2-4x) and Domain: (-infinity, 0)U(0, 1/2)U(1/2, infinity)


I feel preety good about (F*G)(x), but am not too confident on the domain. Can someone eplease confirm?

Thank you.

 

[Unco]

Yes, good work, Trip.