29. simplify the rational expression state any excluded values 3x-12/x-4
a: x
b: 3; where x does not equal 4
c: 3; where x does not equal 3
d: 0

 The correct option is

(B) 3; where x does not equal 4.

Step-by-step explanation:  We are given to simplify the following rational expression and to state any excluded values that exists :

We have

Now, if x = 4, then x - 4 = 0, and we cannot divide 0 by 0.

So, let us assume that x ≠ 4, which implies that x - 4 ≠ 0.

Then, we get

Thus, the value of the given rational expression is 3; where x is not equal to 4.

Option (B) is CORRECT.

my guess would be b and d, but i didn’t actually get out the pen and paper. lol