Step by Step process to find the inverse of a linear function

Step by Step process to find the inverse of a linear function

Assessment

Interactive Video

Mathematics, Science

11th Grade - University

Hard

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The video tutorial explains how to find the inverse of a function. It begins by replacing the function notation with 'Y', then swapping variables, and solving for 'Y' using inverse operations. The tutorial emphasizes the importance of making 'Y' positive and demonstrates distributing and simplifying the equation. The final step involves replacing 'Y' with the inverse function notation and simplifying further if needed.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in finding the inverse of a function?

Swap the variables

Replace F(x) with Y

Solve for Y

Multiply by the reciprocal

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When solving for Y, what operation should be undone first?

Exponentiation

Addition and Subtraction

Division

Multiplication

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you eliminate a fraction when solving for Y?

Subtract the fraction from both sides

Divide by the fraction

Multiply by the reciprocal

Add the fraction to both sides

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step in expressing the inverse function?

Replace Y with G inverse of X

Replace Y with F(x)

Replace Y with F inverse of X

Replace Y with G(x)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a method to simplify the inverse function?

Add a constant to both sides

Divide by a common term

Factor out a common term

Multiply by a constant