Question

Identify whether each formula defines a rational function. If so, identify two polynomials whose ratio comprises it. f(t) = 4 + t^2/(t^3 - 1)

Answer 1

Given the function:

`f(t)=(4+t^2)/(t^3-1)`

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:

`\begin{gathered} P(t)=4+t^2 \\ Q(t)=t^3-1 \end{gathered}`