Given functions \({\rm{f}}\left( {\rm{x}} \right) = \frac{{{{\rm{x}}^2} - 1}}{{{\rm{x}} - 1}}\) and g(x) = x + 1, then which of the following is correct?
1
Both functions are continuous at x = 1
2
f(x) is continuous but g(x) is not continuous at x = 1
3
Both functions are discontinuous at x = 1
4
g(x) is continuous but f(x) is not continuous at x = 1