If \(f\left( x \right) = \frac{x}{2} - 1\), then on the interval [0, π] which one of the following is correct?
1
tan [f(x)], where [⋅] is the greatest integer function, and \(\frac{1}{{f\left( x \right)}}\) are both continuous
2
tan [f(x)], where [⋅] is the greatest integer function, and f-1(x) are both continuous
3
tan [f(x)], where [⋅] is the greatest integer function, and \(\frac{1}{{f\left( x \right)}}\) are both discontinuous
4
tan [f(x)], where [⋅] is the greatest integer function, is discontinuous but \(\frac{1}{{f\left( x \right)}}\) is continuous