Question

Determine the rational function with the characteristics x = 3, x = -1, and x = 0

Answer 1

Given the vertical asymptotes:

`x=3,x=-1,and\text{ x=0}`

As we have vertical asymptotes at x = 3, x = -1, and x = 0 we have in denominator

`(x-3),(x+1)and\text{ }x`

Hence, the rational function is

`f(x)=(1)/(x(x-3)(x+1))`