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4. find the value(s) of the variable for which the rational expression …

Question

  1. find the value(s) of the variable for which the rational expression is undefined.

\\(\frac{4p}{p - 3}\\)
select the correct choice below and, if necessary, fill in the answer box to complete your choice
a. the expression is undefined for p = \\(\boxed{}\\).
(type an integer or a simplified fraction. use a comma to separate answers as needed.)
b. there are no values for which the expression is undefined.

Explanation:

Step1: Recall when rational expression is undefined

A rational expression \(\frac{f(p)}{g(p)}\) is undefined when the denominator \(g(p) = 0\). Here, the denominator is \(p - 3\).

Step2: Solve for \(p\) when denominator is zero

Set \(p - 3 = 0\). Solving this equation: \(p=3\).

Answer:

A. The expression is undefined for \(p = 3\)