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Dfowj · Answer 1 · 2023-01-17T05:40:20+0000

Given:

The expression

Required:

Find the value of x for which given expression is not defined.

Step-by-step explanation:

The calculation steps are as:

$\begin{gathered} =(3x-1)/(2x^2+3x-2) \\ \text{ Modify it to simplest form}, \\ =(3x-1)/(2x^2+4x-x-2) \\ =(3x-1)/(2x(x+2)-1(x+2)) \\ \text{ Make factors in denominator,} \\ =(3x-1)/((2x-1)(x+2)) \\ So,\text{ denominator }at\text{ }x=(1)/(2)\text{ and }x=-2\text{ is not defined.} \end{gathered}$
$(3x-1)/(2x^2+3x-2)\text{ is not defined at }x=-(1)/(2)\text{ and }x=-2.$

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