mathdad
Full Member
- Joined
- Apr 24, 2015
- Messages
- 737
1. Find domain of y = 1/(x^2 + 4).
Setting the denominator to 0 yields x^2 = - 4.
The solution(s) is found in complex roots.
The answer online given is:
Here we have no solution, so the denominator is never zero. Then the domain is "all x".
I do not understand why the domain is all x.
2. Find domain of R(x) = x^3/(x^2 + 1).
The answer in the textbook is:
The domain of R(x) is the set of all real numbers. Why? I thought the domain is found in complex roots.
Setting the denominator to 0 yields x^2 = - 4.
The solution(s) is found in complex roots.
The answer online given is:
Here we have no solution, so the denominator is never zero. Then the domain is "all x".
I do not understand why the domain is all x.
2. Find domain of R(x) = x^3/(x^2 + 1).
The answer in the textbook is:
The domain of R(x) is the set of all real numbers. Why? I thought the domain is found in complex roots.