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Find the values of x for which 3x-1/2x^2+3x-2 is not defined
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Find the values of x for which 3x-1/2x^2+3x-2 is not defined

Find the values of x for which 3x-1/2x^2+3x-2 is not defined-example-1
User Mouseroot
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1 Answer

6 votes
6 votes

Given:

The expression


=(3x-1)/(2x^2+3x-2)

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.

User Jonathan Beebe
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