Questions: Find all excluded values for the expression. That is, find all values of y for which the expression is undefined. (2y-3)/(2y-4) If there is more than one value, separate them with commas. y=

Find all excluded values for the expression. That is, find all values of y for which the expression is undefined. (2y-3)/(2y-4) If there is more than one value, separate them with commas. y=

Transcript text: Find all excluded values for the expression. That is, find all values of $y$ for which the expression is undefined. \[ \frac{2 y-3}{2 y-4} \] If there is more than one value, separate them with commas. \[ y= \]

Solution

Solution Steps

To find the excluded values for the expression $\frac{2y-3}{2y-4}$, we need to determine when the denominator is equal to zero, as division by zero is undefined. Therefore, we solve the equation $2y-4 = 0$ to find the values of $y$ that make the expression undefined.

Step 1: Identify the Denominator

The expression given is

\[ \frac{2y-3}{2y-4} \]

To find the excluded values, we need to focus on the denominator, which is $2y - 4$.

Step 2: Set the Denominator to Zero

We set the denominator equal to zero to find the values of $y$ that make the expression undefined:

\[ 2y - 4 = 0 \]

Step 3: Solve for $y$

Solving the equation $2y - 4 = 0$:

\[ 2y = 4 \]

\[ y = \frac{4}{2} = 2 \]