In Exercises 1 and 2,
(a) State the domains of f and g,
(b) Use a graphing utility to graph f and g in the same viewing window, and
(c) Explain why the graphing utility may not show the difference in the domains of f and g.
1. f (x) = x2 - 1 / x + 1, g (x) = x - 1
2. f (x) = x - 2 / x2 2x, g (x) = 1 / x