please find the domain
in Algebra 2 Answers by Level 1 User (200 points)
edited by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

Do I read this as f of g, where f(x)=5/(x-4), g(x)=1/x? First, look at the domain of each function separately. g(x)=1/x (if this isn't quite what was in the original question you were given before you submitted it, it looks like it contained a term involving dividing by x). The domain is the scope of values of the subject of the function, in this case x. We cannot divide by zero so the domain of x in g is every value of x except x=0, where g becomes infinite and can't be defined. When we put g(x) as the subject of f we have 5/(g(x)-4). That's f of g or "fog". As long as g(x) isn't 4, f is defined, but when g(x)=4, f doesn't exist (infinity can't be defined). What value of x would make g(x)=4? If g(x)=1/x, then 4=1/x, so x=1/4. We've found two values of x that can't be used, so the domain of fog is x not equal to zero and x not equal to 1/4. Hope this helps.

by Top Rated User (626k points)
thanks and yes it did help.....

Related questions

2 answers
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
82,529 questions
87,085 answers
1,957 comments
3,665 users