Chapter 8, Problem 513RE

In the following exercises, determine the values for which the rational expression is undefined.

513. $\frac{2a+1}{3a-2}$

To determine

Tofind the values for which the rational expression is undefined.

Answer to Problem 513RE

$a=\frac{-2}{3}$.

Explanation of Solution

Given information:

The given rational expression is $\frac{2a+1}{3a-2}$.

Calculation:

We have been given a rational expression as $\frac{2a+1}{3a-2}$.

The expression will be undefined if denominator will be equal to $0$ so set the denominator equal to $0$ and solve for the variable.

$\begin{array}{l}3a-2=0\\ \Rightarrow 3a=2\\ \Rightarrow a=\frac{-2}{3}\end{array}$

Hence, the given rational expression will be undefined if $a=\frac{-2}{3}$.