How to determine the inverse of a rational function

How to determine the inverse of a rational function

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial guides students through solving an algebraic equation by replacing variables, swapping coordinates, and simplifying expressions. It emphasizes the importance of following a structured process, especially when dealing with variables in the denominator. The tutorial concludes with factoring and dividing to isolate the variable Y, ultimately finding the inverse function.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step in the process described in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Why do we replace F of X with Y in the algebraic process?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of swapping the X and Y coordinates?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What method is suggested to eliminate a variable from the denominator?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you apply the distributive property in the context of the problem?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the teacher suggest about solving for a variable when there are two of them?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final expression for Y after all the steps?

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