If $f:[2, \infty) \to B$ defined by $f(x)=x^2-4x+5$ is a bijection, then B=

Question

\[\begin {array} {1 1} (a)\;[0, \infty) & \quad (b)\;[1, \infty) \\ (c)\;[4, \infty) & \quad (d)\;[5, \infty) \end {array}\]