Question

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

Answer 1

we know the discontinuity is where \(x+4=0\) i.e. \(x=4\)

Answer 2

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

Answer 3

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

Answer 4

oh and a graph i believe.

Answer 5

did he answer it???

Answer 6

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.

Answer 7

well is is -4 or 4 ?

Answer 8

it's 4...

Answer 9

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