Writing the inverse of another function as an inverse function

Writing the inverse of another function as an inverse function

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find the inverse of a function, specifically F(x) = 2x^2 - 3. It covers the step-by-step method to rewrite the function as an equation, swap variables, and solve for Y using inverse operations. The tutorial emphasizes the importance of including both positive and negative square roots but highlights that only the positive value is used to maintain the function's integrity.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the function F of X that needs to be inverted?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the steps taken to find the inverse of the function.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What operation is performed to isolate Y in the equation?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Why is it important to include both positive and negative values when introducing the square root?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final representation of the inverse function?

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