Find all excluded values for the expression. That is, find all values of \( x \) for which the expression is undefined. \[ \frac{3 x}{4 x+8} \] If there is more than one value, separate them with commas.

To find the excluded values for the expression \( \frac{3 x}{4 x + 8} \), we need to determine when the denominator is equal to zero because a fraction is undefined when its denominator is zero. Set the denominator equal to zero: \[ 4x + 8 = 0 \] Now, solve for \( x \): 1. Subtract 8 from both sides: \[ 4x = -8 \] 2. Divide both sides by 4: \[ x = -2 \] Thus, the only excluded value for the expression is \( -2 \).