Composition of two functions with domain

Composition of two functions with domain

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

11th Grade - University

Hard

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The video tutorial explains the functions G(x) = sqrt(x) - 4 and H(x) = 2x + 1, and demonstrates how to evaluate G(x) with specific values. It further explores the concept of function composition, specifically G(H(x)), and simplifies the resulting expression. The tutorial also covers how to determine the domain of the composed function, emphasizing the need to consider the domain of both the individual and composed functions.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps must be taken to determine the domain when composing functions?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the domain of the function as discussed in the text?

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