\[y = \frac{x^{2} + 4x - 5}{x - 1} = \frac{(x + 5)(x - 1)}{x - 1} = x + 5\]
\[x^{2} + 4x - 5 = (x + 5)(x - 1).\]
\[x_{1} + x_{2} = - 4;\ \ \ x_{1} \cdot x_{2} = - 5\]
\[x_{1} = - 5;\ \ x_{2} = 1.\]
\[y = x + 5;\ \ где\ x \neq 1.\]