For f(x)=4/x+4 and g(x)=7/x

find

1. (f o g)(x)

2. the domain of (f o g)

Thank you for the opportunity to help you with your question!

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

domain=

As it is simple a linear equation. so, domain will be defibned for all real values R.

Hope this will help you!

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