How to determine the domain of the sum of two functions

The video tutorial covers the process of adding functions, emphasizing the need for like terms and common denominators. It explains how to simplify expressions by rewriting them with a common denominator and demonstrates combining fractions. The tutorial also delves into identifying the domain of functions, highlighting restrictions such as division by zero and square roots of negative numbers. The instructor provides examples and clarifies domain constraints, ensuring students understand how to determine valid input values for functions.

What is the process of combining functions as described in the text?

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Explain why the terms 1/X^2 and sqrt(X) + 3 cannot be combined directly.

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What is the least common denominator for the fractions mentioned in the text?

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How do you determine the domain of the function involving a square root?

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Identify the restrictions on the domain of the function discussed.

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What values make the denominator equal to zero in the given expressions?

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Summarize the final domain of the function as presented in the text.

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