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.