Let f be the function that is given by f(x)=(ax+b)/(x^2 - c). It has the following properties:

Question

1) The graph of f is symmetrical with respect to the y-axis
2) The graph of f has a vertical asymptote at x=2
3) The graph of f passes through the point (-1,3)

Determine the values of a, b, and c.
Write an equation for each vertical and horizontal asymptote for the graph of f.

Answer 1

a better be 0 if it is the same for + and - x

c better be 4 if 2^2 - c = 0 and (-2)^2 - c = 0

so far y = b/(x^2-4)
if x = -1
y = b/-3 = 3
so I guesss b = -9