How To Perform the Composition of Two Functions

How To Perform the Composition of Two Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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Quizizz Content

FREE Resource

The video tutorial explains the concept of function composition using G of H of X and H of G of X. It begins with an introduction to these compositions, followed by a review of basic function operations using F of X. The teacher then explains double substitution with Z of X. The tutorial proceeds with detailed calculations of G of H of X and H of G of X, demonstrating how to substitute one function into another. The session concludes with a Q&A to clarify any doubts.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How would you evaluate F of 2 if F of X equals 3X?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the result of substituting Z of X with C in the expression Z of X = X + 1?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What does G of H of X represent in function composition?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of finding H of G of X when H of X = X^2 + X - 1 and G of X = 5X.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final expression obtained after simplifying H of G of X?

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