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= ]

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. \[ \frac{5 w-1}{4 w-12} \] \[ w= \]
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Solution

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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.

  1. Set the denominator equal to zero: \(4w - 12 = 0\).
  2. 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 \(\boxed{w = 3}\).

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