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f(x) = 4/x + 4
g(x) = 7/x
To take the composition of f and g (fog), replace the x in f(x) with g(x):
(fog)(x) = 4/xg+ 4 [f(x) = 4/x + 4]
(fog)(x) = 4/x(7/x) + 4 [since g(x) = 7/x]
(fog)(x) = 28/x^2+4
As it is simple a linear equation. so, domain will be defibned for all real values R.
Hope this will help you!
Please let me know if you need any clarification. I'm always happy to answer your questions.
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