Answer
$ g(t) $ is discontinuous at $ t=0$. The discontinuity here is infinite.
Work Step by Step
Since the $ t^{-2/3}$ is not defined at $ t=0$ (division by zero), the function
$$ f(t)=3t^{-2/3}-9t^3$$
is discontinuous at $ t=0$. The discontinuity here is infinite.
