Find all numbers for which the rational expression is undefined. \frac{7}{3v + 7}

Question:

Find all numbers for which the rational expression is undefined.

{eq}\frac{7}{3v + 7} {/eq}

Rational Expression:

A rational expression is a fraction where the numerator and the denominator are the expressions of a variable. A rational expression is undefined when its denominator is zero.

Answer and Explanation:

The given rational expression is: {eq}\dfrac{7}{3v + 7} {/eq}.

A rational expression is undefined when its denominator is zero.

$$3v+7=0 \\ \text{Subtracting 7 from both sides}, \\ 3v=-7 \\ \text{Dividing both sides by 3}, \\ v= \boxed{\mathbf{ \dfrac{-7}{3}}} $$


Learn more about this topic:

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Expressions of Rational Functions

from Precalculus: High School

Chapter 13 / Lesson 4
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