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

GROUPS:
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?
POSTED BY: Jen Pancaldo
Answer
7 months ago
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*)
POSTED BY: Diego Zviovich
Answer
7 months ago
Probably the function was intended to be
f[x_] := (6 x^2 - 9 x - 6)/(2 x^2 - x - 6)
POSTED BY: Ilian Gachevski
Answer
7 months ago