Question

Fill in the blanks with the appropriate word, phrase, or symbol(s) from the following list. $\text { multiply }\quad \text { divide } \quad \text { add } \quad \text { function } \quad \text { domain }\quad \text { rational } \quad \text { range } \quad \text { simplify}$ The _______ of a rational function is the set of all real numbers for which the denominator is not equal to 0 .

Name: Problem 3, Chapter 6: Intermediate Algebra for College Students
Uploaded: 2021-05-14T22:51:48-08:00
Duration: 1 min 13 s
Channel: Dharmendra Jain
Description: Fill in the blanks with the appropriate word, phrase, or symbol(s) from the following list. multiply divide add function domain rational range simplify The of a rational function is the set of all real numbers for which the denominator is not equal to 0 .

   Fill in the blanks with the appropriate word, phrase, or symbol(s) from the following list.
$\text { multiply }\quad  \text { divide } \quad \text { add } \quad \text { function } \quad \text { domain }\quad \text { rational } \quad \text { range } \quad \text { simplify}$
The _______ of a rational function is the set of all real numbers for which the denominator is not equal to 0 .

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 6, Problem 3

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Solved by Expert Dharmendra Jain

05/14/2021

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Fill in the blanks with the appropriate word, phrase, or symbol(s) from the following list. $\text { multiply }\quad \text { divide } \quad \text { add } \quad \text { function } \quad \text { domain }\quad \text { rational } \quad \text { range } \quad \text { simplify}$ The _______ of a rational function is the set of all real numbers for which the denominator is not equal to 0 .

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Key Concepts

Domain

The domain is the set of all input values for a function for which the function is defined. In problems involving functions, especially rational functions, the domain is determined by ensuring that operations such as division do not result in undefined expressions, such as division by zero.

Rational Function

A rational function is a type of function that can be expressed as the ratio of two polynomials. It is particularly important because its domain is restricted; the inputs that yield a zero in the denominator must be excluded to maintain the function's validity.

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