Math tutorial for writing the inverse of a rational function

Math tutorial for writing the inverse of a rational function

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the process of finding the inverse of a function. It begins by replacing F of X with Y to simplify algebraic operations. The next step involves swapping Y and X to represent a reflection over the y = X line. The tutorial then focuses on solving for Y, addressing challenges like removing Y from the denominator. It covers combining like terms and factoring to simplify equations. Finally, the video explains how to express the inverse function using the notation F inverse.

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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 does swapping Y and X represent graphically?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the challenge when solving for Y in the given process?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What method is suggested to eliminate Y from the denominator?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you combine like terms when solving the equation presented?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final step to represent Y in terms of F inverse?

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