For which values of x is the expression undefined?

start fraction, x, plus, 1, divided by, 4, x, plus, 7, end fraction
4x+7
x+1

The expression is undefined when the denominator is equal to zero. In this case, the denominator is 4x + 7.

To find the values of x for which the expression is undefined, we set the denominator equal to zero and solve for x:

4x + 7 = 0

Subtract 7 from both sides:

4x = -7

Divide both sides by 4:

x = -7/4

Therefore, the expression is undefined when x = -7/4.