Verified Answer :

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:

\(x=7\)

Step-by-step explanation:

we have

\(\frac{2x+4}{x-7}\)

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

\(x-7=0\)

Solve for x

Adds \(7\) both sides

\(x-7+7=0+7\)

\(x=7\)