Division of functions with a radical in the denominator and domain

Division of functions with a radical in the denominator and domain

Assessment

Interactive Video

Mathematics, Business

11th Grade - University

Hard

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Quizizz Content

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The video tutorial covers dividing functions, specifically focusing on the division of G(x) = 3 and F(x) = 2√x. It explains the concept of rationalizing the denominator, though it is not required for the current class. The main focus is on understanding the domain of the function, emphasizing that the domain is from zero to infinity, excluding zero, due to division constraints.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of dividing G(x) by F(x) in the given example?

2 radical X divided by 3

2 radical X minus 3

3 divided by 2 radical X

3 times 2 radical X

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is rationalizing the denominator not required for this class?

Because it is not part of the current curriculum

Because it is too complex for this level

Because it is not a mathematical operation

Because the answers do not require it

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of the function after division?

Negative infinity to positive infinity

Zero to infinity, including zero

Zero to infinity, excluding zero

All real numbers

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't zero be included in the domain of the divided function?

Because it is not a positive number

Because it makes the numerator zero

Because it makes the denominator zero

Because it is not a real number

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens if the radical in the denominator equals zero?

The function becomes infinite

The function equals one

The function equals zero

The function becomes undefined