Mathematics
1. (f o g)(x) 2. the domain of (f o g)​

Question Description

For f(x)=4/x+4 and g(x)=7/x 

find

1. (f o g)(x)

2. the domain of (f o g)

Student has agreed that all tutoring, explanations, and answers provided by the tutor will be used to help in the learning process and in accordance with Studypool's honor code & terms of service.

Final Answer

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!


Please let me know if you need any clarification. I'm always happy to answer your questions.

simsiple (622)
University of Virginia

Anonymous
Goes above and beyond expectations!

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4