Inding the Domain from the Composition of Two Functions

Inding the Domain from the Composition of Two Functions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to compose functions by plugging G(x) into F(x) and discusses the importance of understanding the domain of a function. It covers setting the denominator to zero to find domain restrictions and explores the concept of square roots in determining domain limits. The tutorial also explains how to exclude certain values from the domain using parentheses and union, and clarifies the concept of infinity in the context of domain, emphasizing that infinity is not a tangible number but a concept.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you rationalize the denominator, and why is it important?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the process to find the domain of a function involving a square root?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the significance of setting the denominator equal to zero.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why you cannot take the square root of a negative number.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What values of X make the denominator equal to zero in the given function?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean when a number is not included in the domain?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the domain of the function discussed in the text?

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