Let f be the function that is given by f(x)=(ax+9)/(x^2-c) and that has the following properties.

a) the graph of f is symmetric with respect to the y-axis

b) lim x->2 from the right is equal to positive infinity

1) determine the values of a and c

2) write an equation for each vertical and each horizontal asymptote

3) sketch the graph

4) find the inverse

so when I started this I got the horizontal asymptote to be y=0 and the two vertical asymototes to be x=+-2 also I got the graph to be a positive hyperbola in quad 1 and the reverse of the at in quad 2 and then in between them a downwards parabola...I also think that a might be 0 but I'm not sure...any help would be great!!! Thanks