Question

Find the domain of the composite function f o g . Please show all of your work. f(x)=x+4; g(x)= 1/x+8

Answer 1

If that's g(x) = 1/ (x+8) then the domain is all real numbers except x=-8.

Answer 2

f(x)=x+4; g(x)= 1/x+8
-> f o g = (1/x+8 ) + 4
=> Domain fog is R \ { -8 }