Respuesta :

A rational expression is undefined when the denominator equals zero, so we need to make the denominator equal to zero. Set it to zero and solve:
x - 7 = 0
Add seven to both sides:
x = 7

And there's your answer!

Hope I helped, and let me know if you have any questions :)

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

we have

[tex]\frac{2x+4}{x-7}[/tex]

we know that

In the given expression the denominator can not be equal to zero

therefore

To find the value of x for which the expression is undefined. equate the denominator to zero

[tex]x-7=0[/tex]

Solve for x

Adds [tex]7[/tex] both sides

[tex]x-7+7=0+7[/tex]

[tex]x=7[/tex]