Determine the range of f(x)=tan2(x)+2tan(x)+5f(x) = \tan^2(x) + 2\tan(x) + 5f(x)=tan2(x)+2tan(x)+5.
[4,∞)[4, \infty)[4,∞)
[5,∞)[5, \infty)[5,∞)
(−∞,∞)(-\infty, \infty)(−∞,∞)
[0,∞)[0, \infty)[0,∞)