Write the equation of a rational function which has the following characteristics.

Question

The function has no zeros. it has a hole x=-1.5, and a vertical asymptote at x=1. the horizontal asymptote is y=0.

Answer 1

f(x) = (x+1.5)/(x+1.5)(x-1)

or

y = (x+1.5)/(x^2 +0.5x -1.5)