Given:
The expression
[tex]=\frac{3x-1}{2x^2+3x-2}[/tex]
Required:
Find the value of x for which given expression is not defined.
Explanation:
The calculation steps are as:
[tex]\begin{gathered} =\frac{3x-1}{2x^2+3x-2} \\ \text{ Modify it to simplest form}, \\ =\frac{3x-1}{2x^2+4x-x-2} \\ =\frac{3x-1}{2x(x+2)-1(x+2)} \\ \text{ Make factors in denominator,} \\ =\frac{3x-1}{(2x-1)(x+2)} \\ So,\text{ denominator }at\text{ }x=\frac{1}{2}\text{ and }x=-2\text{ is not defined.} \end{gathered}[/tex][tex]\frac{3x-1}{2x^2+3x-2}\text{ is not defined at }x=-\frac{1}{2}\text{ and }x=-2.[/tex]
