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rational expressions restriction on a variable in a denominator: linear…

Question

rational expressions
restriction on a variable in a denominator: linear
find all excluded values for the expression.
that is, find all values of y for which the expression is undefined.
\\(\frac{9y + 1}{2y + 8}\\)
if there is more than one value, separate them with commas.
\\(y = \square\\)

Explanation:

Step1: Identify undefined condition

A rational expression is undefined when its denominator is zero. So, set the denominator \(2y + 8 = 0\).

Step2: Solve for y

Subtract 8 from both sides: \(2y = -8\). Then divide by 2: \(y = \frac{-8}{2} = -4\).

Answer:

-4