What is the range of function x^2 -1/x+1

Answer 1

(x^2-1)/(x+1) = (x+1)(x-1)/(x+1) = x-1 for all x ≠ -1
So the range is all real numbers.
Extra Credit: what is the domain?

Answer 2

oops. f(x) is undefined for x = -1, but the limit is zero.
So the range is all real numbers except y=0