How To Composes a Function Upon Itself

How To Composes a Function Upon Itself

Assessment

Interactive Video

Mathematics, Business

11th Grade - University

Hard

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The video tutorial explains how to compose a function within itself, specifically focusing on F of F. It begins by defining F of X as 3X - 1 and demonstrates how to evaluate F of F(X) by substituting and simplifying the expression. The tutorial emphasizes the importance of using parentheses and applying the distributive property to simplify the expression further. The process concludes with a simplified expression of 9X - 4, illustrating the concept of function composition.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean to compose a function within itself?

Plugging a function into itself

Plugging a function into another function

Adding two functions together

Subtracting one function from another

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the expression for F of X in this tutorial?

3X - 1

X^2 + 3

2X + 1

4X - 2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When substituting F of X into itself, what should you replace X with?

3X - 1

X - 1

X + 1

2X - 3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to use parentheses when evaluating the expression?

To avoid adding extra terms

To ensure correct order of operations

To make the expression look neat

To simplify the expression

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified expression after applying the distributive property?

9X - 3

9X - 4

3X - 1

6X - 2