To determine the undefined value for the equation \( 14 = 7 \times 9 + 4x \), we first need to simplify the equation.
Starting with the left side:
\[ 14 = 63 + 4x \]
Next, we can subtract 63 from both sides:
\[ 14 - 63 = 4x \]
This simplifies to:
\[ -49 = 4x \]
Now, we divide both sides by 4:
\[ x = -\frac{49}{4} \]
This shows the value of \( x \), but we are looking for values that make the equation undefined. In this linear equation, there are no divisions by zero or other conditions that typically make an equation undefined.
Based on the provided options, none of them correspond to undefined values in this context since this equation is defined for all values of \( x \), and there are no restrictions from the equation itself. Therefore, if we must choose an option about undefined values, none of the responses are applicable.
If you're asked which of these could be values that make an expression undefined in a different context (possibly something like \( 4x = 0 \) which would give \( x = 0 \) leading to an undefined division), without additional context or an expression leading to such scenarios, it cannot be determined because the equation as such does not include divisions that could cause an undefined result.
Please double-check the problem statement to clarify if the equation provided is correct and if additional context is needed.