f(x)=2x-2/x^2+x-2
What values of x is f(x) discontinuous?

Question

f(x)=2x-2/x^2+x-2
What values of x is f(x) discontinuous?

anonymous · Answer

$$f(x)=\frac{ 2x-2 }{ x^2+x-2 }$$

anonymous · Answer

I've done the work and ended up with $$\frac{ 2 }{ x+2 }$$ but I do not know about the discontinuities.

anonymous · Answer

a=f(x) =(2x-2)/(x^2+x-2) 
=(2x-2)/(x-1)(x+2)  
=2/(x+2) 
f(x) is undefined at x= -2 & x=1 
b=lim 2/(x+2) = -infinity 
x-->-2 
c)x=-2 
lim 2/(x+2) = 0 
x->infinity 
d)2/(x+2) = a/(b + x)

anonymous · Answer

....what..

anonymous · Answer

f(x) is undefined at x= -2 & x=1

anonymous · Answer

That's not what the problem is asking for. It's asking me to define the discontinuities. I'm aware that x=-2 and x=1 are non-removable discontinuities but I don't know if I'm missing anything else.

anonymous · Answer

. . . Seems like you got it.

anonymous · Answer

Thanks love. :)

anonymous · Answer

Mhm. ^^