How to find the inverse of a squared function

How to find the inverse of a squared function

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the process of solving equations by swapping variables and undoing operations like squaring and square roots. It highlights the importance of constraints in ensuring the resulting inverse is a function. The tutorial uses graph analysis to demonstrate why certain constraints are necessary, focusing on the positive form of roots to maintain functionality.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial step mentioned in solving the equation?

Adding variables

Multiplying variables

Dividing variables

Swapping variables

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mathematical operation is used to undo squaring?

Addition

Subtraction

Square root

Multiplication

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to consider both positive and negative roots?

To ensure the equation is balanced

To account for all possible solutions

To simplify the equation

To make the equation more complex

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the constraint X > 0 ensure?

The equation is linear

The equation has no solution

The equation is quadratic

The inverse is a function

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What would happen if both positive and negative roots were included without constraints?

The inverse would still be a function

The inverse would not be a function

The equation would become linear

The equation would have no solution