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If f(x) = (x/2) – 1, then on the interval [0, π] which one of the following is correct?

Mathematics 2017 NDA Mathematics 2017 NDA 2017

Options

tan[f(x)], where [.] is the greatest integer function, and 1/f(x) are both continuous

tan[f(x)], where [.] is the greatest integer function, and f^-1(x) are both continuous

tan[f(x)], where [.] is the greatest integer function, and 1/f(x) are both discontinuous

tan[f(x)], where [.] is the greatest integer function, is discontinuous but 1/f(x) is continuous