Given the function:
[tex]f(t)=\frac{4+t^2}{t^3-1}[/tex]This is a rational function because it is the ratio of two polynomials, one as the numerator and the other as the denominator. These polynomials are:
[tex]\begin{gathered} P(t)=4+t^2 \\ Q(t)=t^3-1 \end{gathered}[/tex]