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How to find implied domain?

Understand the Problem

The question is asking how to determine the implied domain of a function, which involves identifying the set of all possible input values (x-values) for which the function is defined, especially in terms of ensuring that no division by zero or square roots of negative numbers occur.

Answer

The set of all real numbers where the function is defined, excluding points of undefined behavior.

The implied domain is the set of all real numbers where the function is defined, excluding points where the function is undefined.

Answer for screen readers

The implied domain is the set of all real numbers where the function is defined, excluding points where the function is undefined.

More Information

Functions can have various types like polynomials, rational, or radical, each with specific conditions leading to undefined points that need to be excluded from the domain.

Tips

Common mistakes include forgetting to exclude points where the denominator is zero in rational functions or where the radicand is negative in radical functions.

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