Composing two functions

Composing two functions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the importance of understanding different types of notation, particularly focusing on the composition of functions, denoted as F of G of X. It clarifies that the open circle symbol is not multiplication but represents function composition. The tutorial provides examples using specific functions, such as the square root of X and X squared, to demonstrate how to plug one function into another. It also discusses the concept of inverse functions, highlighting how the square root and squaring are inverses. The video concludes with tips on mastering function composition.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the open circle in the notation F of G of X?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What does F of G of X represent in function notation?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How would you evaluate F of G of X if G of X is defined as X^2?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the relationship between the square root function and the power of two function.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of plugging one function into another using the example provided.

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