How to find the inverse of a cubic root function

How to find the inverse of a cubic root 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 by switching the input and output values. It discusses the graphical representation of inverse functions and the steps to solve for the inverse, including switching X and Y values and using inverse operations. The tutorial concludes with a discussion on inverse notation.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary action involved in finding the inverse of a function?

Adding a constant to the function

Switching the input and output values

Multiplying the function by a factor

Differentiating the function

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When finding the inverse of a function, what is the first step after switching X and Y?

Differentiate both sides

Solve for Y

Add a constant to both sides

Multiply both sides by a factor

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the inverse operation of a cube root?

Cube

Square root

Addition

Subtraction

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the inverse of a function typically notated?

X inverse

F inverse of X

F of X

Y prime

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What remains unchanged in the new function after finding the inverse?

The input and output values

The terms of X

The function's notation

The function's domain