How to find the domain of a rational function with a radical in the denominator

How to find the domain of a rational function with a radical in the denominator

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial discusses handling numerators and radicals in denominators, focusing on restrictions and solving inequalities. It explains how to treat restrictions separately and solve for inequalities involving radicals. The tutorial also covers graphing the solution set and concludes with a summary of key points.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of the radical in the denominator and how it affects the restrictions on X.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the restrictions placed on the variable X in the given context?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you solve for X when given the equation under the square root?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean for X to be greater than or equal to 4 thirds, and how is this represented graphically?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Why is 4 thirds not included in the solution set despite being a boundary point?

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