Respuesta :
Recall that a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials.
Let P(t)=0 (the polynomial zero) and Q(t)=1, now, notice that:
[tex]f(t)=0=\frac{0}{1}=\frac{P(t)}{Q(t)}\text{.}[/tex]Since both, P(t) and Q(t) are polynomials, we get that f(t) is a rational function.
Answer: f(t)=0 is a rational function.
