dentify the discontinuities, graph, and find the zeros of each rational function.
f(x)=2x^2+5x-12/x+4

Question

dentify the discontinuities, graph, and find the zeros of each rational function.
f(x)=2x^2+5x-12/x+4

anonymous · Answer

we know the discontinuity is where $x+4=0$ i.e. $x=4$

anonymous · Answer

zeros will be where 
$$2x^2+5x-12=0$$ maybe it factors

anonymous · Answer

i suck at factoring, but this one is $(2x-3)(x+4)$zeros are easy enough to find
what else do you need?

rayford · Answer

oh and a graph i believe.

rayford · Answer

did he answer it???

mathmate · Answer

Yes, he gave you the complete answer, like last time.
The discontinuity is at x+4=0 or x=-4.  I.e. the function is undefined at x=-4.
The remaining points form a straight line where y=2x-3.
The problem is similar to the previous one.

rayford · Answer

well is is -4 or 4 ?

rayford · Answer

it's 4...

mathmate · Answer

It's x+4=0, which means that the discontinuity is at x=-4.