How do you find the y intercepts and where the function is undefined?

Questions
,
1 
The function is f(x)= 6x^2 -9x-6/ 2x^2-x-6

I found the x intercepts but how do you find the y intercepts and where the function is undefined without using just the graph?

2

Y intercepts

f[x_] := 6 x^2 - 9 x - 6/2 x^2 - x - 6
Solve[f[x] == 0, x]
(*{{x -> 1/3 (5 - Sqrt[43])}, {x -> 1/3 (5 + Sqrt[43])}}*)

For the indefinites then

Solve[(1/f[x]) == 0, x]
(*{}*)

Checking

Simplify[f[x]]
(*-6 - 10 x + 3 x^2*)
3

Probably the function was intended to be

f[x_] := (6 x^2 - 9 x - 6)/(2 x^2 - x - 6)