For f(x)=4/x+4 and g(x)=7/x
1. (f o g)(x)
2. the domain of (f o g)
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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!
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