Writing the inverse of a function given a square root

Writing the inverse of a function given a square root

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial walks through solving an example function F of X = X - 3. It outlines the steps to find the inverse function: replacing F of X with Y, swapping X and Y, and solving for Y by undoing the square root. The final solution is presented as Y = X^2 + 3, or F inverse of X = X^2 + 3.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step in transforming the function F of X?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of swapping the X and Y variables.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you solve for Y after squaring both sides?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the significance of adding 3 in the final equation.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final expression for Y after completing the transformation?

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