Find the equation of a rational function.

Question

Vertical Asymptote at x= -6

Horizontal Asymptote at y=0

A hope at x=5

y intercept (0, 2/3)

Answer 1

Kj,

if you meant "hole" instead of "hope" the answer is

a(x-5)

y = -------------------- reduce by (x-5) and the given point helps you to identify "a":

(x+6)(x-5)

a

2/3 = ---------------- ------> a=4 and the function is

0+6

4(x-5)

y = --------------------

(x+6)(x-5)