Question

what is domain of (x^2+2x+1)/(x^3+1)

Answer 1

The domain is the real line except -1.

Answer 2

You cannot divide by 0


So if x^3+1 = 0, then x^3 = -1 and x = -1 (which is the only real solution)


So if x = -1, then x^3+1 is zero


So we must exclude this from the domain.


So the domain is the set of all real numbers except x cannot be equal to -1