Evaluating the Composition of Two Functions, Linear and Quadratic

Evaluating the Composition of Two Functions, Linear and Quadratic

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the process of function composition, specifically focusing on substituting and calculating values within functions. It demonstrates how to substitute G of X with G of -5, calculate its value, and then replace it in another function, H of X, to solve for H of -1. The tutorial concludes with a brief discussion on homework and the importance of following the step-by-step process.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main concept introduced in the first section of the video?

Differentiation of functions

Integration of functions

Matrix multiplication

Function composition

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the value of G(-5) calculated?

By dividing -5 by 5

By multiplying -5 by 5

By subtracting 5 from -5

By adding 5 to -5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of G(-5)?

1

-5

0

-1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next step after finding G(-5) in the video?

Graph the function G

Find the inverse of G

Calculate the derivative of G

Substitute G(-5) into the H function

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final result of H(-1) as calculated in the video?

5

7

9

11