Question

Given the Ration Function g(t) = (T^3-t^2-12t)/(t^2-9) find the domain intercepts holes and asymptotes. sketch an accurate graph of the rational function.

Answer 1

Got t(t-3)(t+4)/(t-3)(t+3)
so domain is (-inf,-3)U(-3,3)U(3,inf)?
Intercepts im not sure about, do i find the before or after i remove x-3?
Holes x=3 and asymptotes are t=3 and slant at y=t+1?

@pooja195 any ideas? <3

Answer 2

@TheSmartOne

Answer 3

https://www.desmos.com/calculator/obrrrjtkcb