Questions: Find all excluded values for the expression. That is, find all values of (w) for which the expression is undefined.
[
frac5w-14w-12
]
[
w=
]
Transcript text: Find all excluded values for the expression. That is, find all values of $w$ for which the expression is undefined.
\[
\frac{5 w-1}{4 w-12}
\]
\[
w=
\]
Solution
Solution Steps
To find the excluded values for the expression \(\frac{5w-1}{4w-12}\), we need to determine the values of \(w\) that make the denominator zero, as division by zero is undefined.
Set the denominator equal to zero: \(4w - 12 = 0\).
Solve for \(w\).
Step 1: Set the Denominator to Zero
To find the excluded values for the expression \(\frac{5w-1}{4w-12}\), we first set the denominator equal to zero:
\[
4w - 12 = 0
\]
Step 2: Solve for \(w\)
Next, we solve the equation for \(w\):
\[
4w = 12
\]
\[
w = \frac{12}{4} = 3
\]
Final Answer
The excluded value for the expression is \(\boxed{w = 3}\).