Dividing two functions so that we can determine the domain

Dividing two functions so that we can determine the domain

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial focuses on rational functions, specifically F of G of X, and explains how to determine the domain of such functions. It begins by introducing the concept of rational functions and the importance of setting the denominator equal to zero to find the domain. The tutorial then demonstrates solving for values that make the denominator zero, highlighting that only imaginary numbers achieve this. Finally, it concludes that the domain is all real numbers except those less than or equal to 1.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does F of G of X represent in the context of rational functions?

F of X plus G of X

G of X divided by F of X

F of X divided by G of X

F of X multiplied by G of X

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When identifying the domain of a rational function, what should you set the denominator equal to?

1

Infinity

0

Negative one

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Are there any real numbers that make the denominator of the given rational function zero?

Yes, there are real numbers

No, only imaginary numbers

Yes, but only positive numbers

No, there are no numbers

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of the rational function discussed in the video?

All real numbers

All real numbers except those greater than 1

All real numbers except those less than or equal to 1

All real numbers except those equal to 0

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Does the domain of the rational function change throughout the problem?

Yes, it changes once

No, it remains the same

No, it changes at the end

Yes, it changes multiple times