Write an equation for a rational function

Question

Vertical asymptotes at x = 4 and x = -5

x intercepts at x = 5 and x = 2

Horizontal asymptote at y = 6

y = 

Answer 1

VA at x = 4 and x = -5 if denominator = 0 when x = 4 and x = -5, but numerator is nonzero when x = 4 and x = -5.

x-intercepts at x = 5 and x = 2 if numerator = 0 when x = 5 and x = 2, but denominator is nonzero when

x = 5 and x = 2.

HA at y = 6 if quotient of leading coefficients is 6 (provided that the numerator and denominator have the same degree).

A possible equation for a rational function with the properties given is:

y = 6(x-5)(x-2) / [(x+5)(x-4)]