Step by step learn how to write the inverse of a function and determine if a function or not

Step by step learn how to write the inverse of a function and determine if a function or not

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

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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, then swapping the X and Y coordinates. The next step involves solving the equation using inverse operations, such as multiplying by the reciprocal instead of dividing by a fraction. Finally, the tutorial verifies if the inverse is a function by checking if each input results in a single output.

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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?

Check if it's a function

Replace F(x) with Y

Swap X and Y

Solve the equation

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When solving the equation, why is it preferred to multiply by the reciprocal instead of dividing by a fraction?

It is a standard mathematical rule

It simplifies the equation

It avoids complex calculations

It is faster

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed first when solving the equation?

Exponentiation

Addition or Subtraction

Division

Multiplication

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you verify if the inverse is a function?

By checking if each input has multiple outputs

By checking if each input has a single output

By checking if the graph is linear

By checking if the equation is balanced

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What result do you get when you plug zero into the inverse function?

Negative five

Zero

Ten

Five