Question

What value makes the equation −5=4−3x4−3x undefined?(1 point)
Choose One Of The Responses

43
Start Fraction 4 over 3 End Fraction

−34
negative Start Fraction 3 over 4 End Fraction

−43
negative Start Fraction 4 over 3 End Fraction

34

Answer 1

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:

**\( \frac{4}{3} \)**.