Compose two functions then determine the domain

Compose two functions then determine the domain

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the functions F(x) = X^2 + 4 and G(x) = sqrt(X) - 4, and how to compose them into F(G(x)). It demonstrates the simplification of F(G(x)) to X and discusses the importance of considering domain restrictions, emphasizing that the domain of the composition is restricted from 4 to infinity. The tutorial concludes with a summary of the key points covered.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the expression for F of X?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to find F of G of X based on the given functions.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the domain of the function G of X?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the restrictions on the domain when composing functions F and G.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Summarize the key points regarding the composition of F of G of X.

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