find the domain ((3/x+2)/(x/+x+2))

Question

It simplifies to 3/x. 

Answer 1

Hi Michaela,

 

The domain is all the values of X that are valid in the original equation.

 

The X's that aren't valid are those where the denominators equal zero.

 

So for the top fraction, X = -2 will cause the fraction to be undefined.

 

If X is is the numerator of the bottom fraction, then the number under 3/X + 2 is zero and the fraction is undefined.

 

X = -2 in the very bottom causes that fraction to be undefined.

 

So the domain is  X < -2; -2 < X < 0; X > 0

 

Dan