To determine the value that makes the equation \( -5 = 4 - 3x \cdot 4 - 3x \) undefined, we first need to reformulate the expression correctly.
The expression seems to suggest a multiplication of \( 3x \) with \( 4 \), which could be written as \( -5 = 4 - 3(4 - 3x) \). However, if \( 3x \) were in the denominator of a fraction, that could lead to an undefined situation.
In the context of analysis, a function becomes undefined when there is a division by zero. Therefore, if we were interpreting this as an expression like \( f(x) = \frac{4 - 3x}{4 - 3x} \) when the denominator equals zero, it would dictate \( 4 - 3x = 0 \).
Let's solve this equation for \( x \):
\[ 4 - 3x = 0 \] \[ 3x = 4 \] \[ x = \frac{4}{3} \]
With this analysis, if \( x = \frac{4}{3} \), the expression becomes undefined due to division by zero.
Hence, the value that makes the equation undefined is:
\( \frac{4}{3} \).
So, the correct response is:
\( \frac{4}{3} \).
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