Respuesta :

x=5 because the denominator can never equal zero or it will be undefined. and 5-5=0

Answer:

x = 5

Step-by-step explanation:

The given rational expression is

[tex]\dfrac{2x-4}{x-5}[/tex]

We need to find all the values of x that make the rational expression undefined.

The given expression is undefined if the value of denominator is equal to 0.

Equate the denominator equal to 0.

[tex]x-5=0[/tex]

Add 5 on both sides.

[tex]x-5+5=0+5[/tex]

[tex]x=5[/tex]

It means the given expression is undefined for x=5. Therefore, the correct option is 2.