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Undefined Expressions & Numbers in Math | Functions & Examples

Consider these examples: Example 1: Undefined Expression. Look at the undefined expression {eq}\dfrac{3x}{x^2-1} {/eq} and observe the graph. How is the undefined point found?

https://en.wikipedia.org › wiki › Undefined_(mathematics)

Undefined (mathematics) - Wikipedia

In mathematics, the term undefined is often used to refer to an expression which is not assigned an interpretation or a value (such as an indeterminate form, which has the possibility of assuming different values). [1]

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8.1: Simplify Rational Expressions - Mathematics LibreTexts

A rational expression is an expression of the form \(\frac{p(x)}{q(x)}\), where p and q are polynomials and \(q \ne 0\). Remember, division by 0 is undefined. Here are some examples of rational expressions:

8.1: Simplify Rational Expressions - Mathematics LibreTexts

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Undefined Expression - Mathleaks

A few common examples of undefined expressions are the following. Concept. Division by Zero. Expressions similar to a0, which show a being divided by 0, are said to be undefined. This is because, there exists no number, x, (real or otherwise) such that 0 * x = a, assuming a≠ 0.

https://www.onlinemathlearning.com › rational-expressions-undefined.html

When is a Rational Expression Undefined or Zero? (examples, solutions ...

How to find values which make a rational expression undefined or zero, examples and step by step solutions, Grade 9

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Khan Academy

Learn how to simplify rational expressions by canceling out common factors in the numerator and denominator. Khan Academy offers free, world-class education for anyone, anywhere.

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What exactly does undefined mean? - Mathematics Stack Exchange

Much like the empty set is used to illustrate the fact that no value satisfies a given equation, the undefined set illustrates the fact that the equation is satisfied by exactly two values, i.e $\infty$ and $-\infty$. So by definition, this undefined set could be $\ {\infty, -\infty\}$.

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Rational Expressions - Math is Fun

In General. A rational function is the ratio of two polynomials P (x) and Q (x) like this. f (x) = P (x) Q (x) Except that Q (x) cannot be zero (and anywhere that Q (x)=0 is undefined) Finding Roots of Rational Expressions.

Rational Expressions - Math is Fun

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7.1: Simplifying Rational Expressions - Mathematics LibreTexts

When \(x=−3\), the value of the rational expression is \(0\); when \(x=4\), the value of the rational expression is \(−7\); and when \(x=5\), the value of the rational expression is undefined. This example illustrates that variables are restricted to values that do not make the denominator equal to 0.