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Reduce the following rational expression to the lowest terms. When is this undefined? How did you determine when it was undefined?

Reduce the following rational expression to the lowest terms. When is this undefined? How did you determine when it was undefined?
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Reduce the following rational expression to the lowest terms. When is this undefined? How did you determine when it was undefined?

Reduce the following rational expression to the lowest terms. When is this undefined-example-1
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User Elza
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\begin{gathered} (6x^2+7x-3)/(4x^2-9) \\ 6x^2+7x-3=(2x+3)(3x-1) \\ 4x^2-9=(2x+3)(2x-3) \\ (6x^2+7x-3)/(4x^2-9)=((2x+3)(3x-1))/((2x+3)(2x-3))=(3x-1)/(2x-3) \\ (6x^2+7x-3)/(4x^2-9)=(3x-1)/(2x-3) \\ \text{The expression }(6x^2+7x-3)/(4x^2-9)\text{ in lowest terms is }(3x-1)/(2x-3) \\ To\text{ determine when is undefined} \\ 2x-3=0 \\ 2x=3 \\ x=(3)/(2) \\ The\text{ expression is undefined when x is }(3)/(2) \end{gathered}

Reduce the following rational expression to the lowest terms. When is this undefined-example-1
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User Quiana
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