What is the excluded value of the rational expression 2x + 6/ 4x - 8 ?
A. -3
B. -2
C. 0
D. 2

Question

What is the excluded value of the rational expression  2x + 6/ 4x - 8 ?  
A. -3
B. -2
C. 0
D. 2

hannahc234 · Answer

I think it's d?

xguardians · Answer

-2, since it creates the denominator equal to zero.

xguardians · Answer

4x - 8 = ?
4(-2) - 8 = 0
You can't have zero in the denominator, it makes it irrational.

stacey · Answer

4(-2) - 8 = -8 - 8 = -16

stacey · Answer

The way that problem is written it appears that only 4x is in the denominator.

stacey · Answer

Is the problem supposed to look like this: $$2x+\frac{ 6 }{ 4x }-8$$  or should there be parenthesis around 4x - 8 to make that binomial the denominator?

directrix · Answer

2x + 6                 2(x + 3)
---------   =       --------    
 4x - 8                   4(x - 2)

What value of x makes    4(x - 2) = 0 ?  @HannahC234

That will be the excluded value.