Write a rational function g with vertical asymptotes at `x = 3` and `x = -3`, a horizontal asymptote at `y = -4` and with no `x`-intercept.

Explanation

`*` Since g has vertical is asymptotes x = 3 and x = -3, then the denominator of the rational function contains the product of (x-3) and (x+3) . Function g has the form
`g(x)=(h(x))/((x-3)(x+3)`
`*` For the horizontal asymptote to exist, the numerator h(x) of g(x) has same degree as that of the denominator with a leading coefficient equal to -4. At the same time, h(x) has no real zeros. Hence
`f(x)=(-4x^(2)-6)/((x-3)(x+3))`
`*` Check the characteristics in the graph of g shown below.